Pith Number

pith:5YLPLD7W

pith:2012:5YLPLD7WGRKBGC2SXETX3SW2AY

not attested not anchored not stored refs pending

Entropy in the Classical and Quantum Polymer Black Hole Models

Daniel R. Terno, Etera R. Livine

arxiv:1205.5733 v1 · 2012-05-25 · gr-qc · 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{5YLPLD7WGRKBGC2SXETX3SW2AY}

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	2026-05-18T03:41:29.231793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee16f58ff63454130b52b9277dcada062a272a1b47278d09bd59704fe040c2ee

Aliases

arxiv: 1205.5733 · arxiv_version: 1205.5733v1 · doi: 10.48550/arxiv.1205.5733 · pith_short_12: 5YLPLD7WGRKB · pith_short_16: 5YLPLD7WGRKBGC2S · pith_short_8: 5YLPLD7W

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/5YLPLD7WGRKBGC2SXETX3SW2AY \
  | 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: ee16f58ff63454130b52b9277dcada062a272a1b47278d09bd59704fe040c2ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "822c5b6a0fd5f2cf0b8cdc63bb2cb5bcef71fb0467726984330943e2dc7611b2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-05-25T15:36:50Z",
    "title_canon_sha256": "a2ac09a01fbca4a8fa41d40e3f15367577079f5b4c1c32cab580885dfb21c4e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5733",
    "kind": "arxiv",
    "version": 1
  }
}