Pith Number

pith:ZGYJWXXG

pith:2011:ZGYJWXXGEZ6WII7C3IFIZ6XNWC

not attested not anchored not stored refs pending

Artificial black holes

Gregory Eskin

arxiv:1105.2015 v1 · 2011-05-10 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGYJWXXGEZ6WII7C3IFIZ6XNWC}

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	2026-05-18T04:22:30.127536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9b09b5ee6267d6423e2da0a8cfaedb089eeaedba04a19eca000aeb2662b82ef

Aliases

arxiv: 1105.2015 · arxiv_version: 1105.2015v1 · doi: 10.48550/arxiv.1105.2015 · pith_short_12: ZGYJWXXGEZ6W · pith_short_16: ZGYJWXXGEZ6WII7C · pith_short_8: ZGYJWXXG

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/ZGYJWXXGEZ6WII7C3IFIZ6XNWC \
  | 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: c9b09b5ee6267d6423e2da0a8cfaedb089eeaedba04a19eca000aeb2662b82ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89de036e1a540dab38d54e04cbef9d46bec03082a5331de8b33896b68c28a2b6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-10T18:44:22Z",
    "title_canon_sha256": "68738a2b5ed9bb512632894b533fda8967fd0eae8ccb27df2bcaddabf0885c17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2015",
    "kind": "arxiv",
    "version": 1
  }
}