Pith Number

pith:PDBPPAUX

pith:2010:PDBPPAUXAAVBV35XMFDT2ORFKN

not attested not anchored not stored refs pending

Comments on Ultra-High-Energy Photons and D-Foam models

Dimitri V. Nanopoulos, John Ellis, Nick E. Mavromatos

arxiv:1004.4167 v1 · 2010-04-23 · astro-ph.HE · 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{PDBPPAUXAAVBV35XMFDT2ORFKN}

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.

Receipt and verification

First computed	2026-05-18T02:33:33.618592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78c2f78297002a1aefb761473d3a255363af5e0851b7a409aced961f44b5f2c2

Aliases

arxiv: 1004.4167 · arxiv_version: 1004.4167v1 · doi: 10.48550/arxiv.1004.4167 · pith_short_12: PDBPPAUXAAVB · pith_short_16: PDBPPAUXAAVBV35X · pith_short_8: PDBPPAUX

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/PDBPPAUXAAVBV35XMFDT2ORFKN \
  | 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: 78c2f78297002a1aefb761473d3a255363af5e0851b7a409aced961f44b5f2c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e30efcc7ae08b02bedb37e5ce036f17ee75a12ec28589ffcb6ca1adec89c7a82",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2010-04-23T15:54:01Z",
    "title_canon_sha256": "6df0501b8ce355b6db3e722c917486e0626def42a24943f86a9b6c078270f777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4167",
    "kind": "arxiv",
    "version": 1
  }
}