Pith Number

pith:NID4LESS

pith:2000:NID4LESSWAIRL4H4HIRC5OJYZF

not attested not anchored not stored refs pending

Space-Time Foam Effects on Particle Interactions and the GZK Cutoff

Academy of Athens), D.V. Nanopoulos (Texas A&M, HARC, John Ellis (CERN), King's College, London), N.E. Mavromatos (CERN

arxiv:hep-th/0012216 v1 · 2000-12-21 · hep-th · astro-ph · gr-qc · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NID4LESSWAIRL4H4HIRC5OJYZF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Revisiting Varying Speed of Light in Cosmology: Insights from the Friedmann-Lema\^itre-Robertson-Walker Metric

Receipt and verification

First computed	2026-07-04T15:49:19.743340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a07c59252b01115f0fc3a222eb938c97424356517674b9b5ece24772b1c9e76

Aliases

arxiv: hep-th/0012216 · arxiv_version: hep-th/0012216v1 · doi: 10.48550/arxiv.hep-th/0012216 · pith_short_12: NID4LESSWAIR · pith_short_16: NID4LESSWAIRL4H4 · pith_short_8: NID4LESS

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NID4LESSWAIRL4H4HIRC5OJYZF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6a07c59252b01115f0fc3a222eb938c97424356517674b9b5ece24772b1c9e76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2c40c2d460d631ae0ee10ece47606f8bd907744534f485a9441913cd26faa8a",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-12-21T18:39:44Z",
    "title_canon_sha256": "8ffb10c3cb0c055b8a46e7331efff13079a6fb6315f8016caf39c317361c8f96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0012216",
    "kind": "arxiv",
    "version": 1
  }
}