Pith Number

pith:XFOPF3UP

pith:2003:XFOPF3UPMGC2V3YIIYWJZEVK2W

not attested not anchored not stored refs pending

On the Bekenstein-Hawking Entropy, Non-Commutative Branes and Logarithmic Corrections

Axel Krause (Maryland U.)

arxiv:hep-th/0312309 v3 · 2003-12-30 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFOPF3UPMGC2V3YIIYWJZEVK2W}

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	2026-05-18T04:17:36.062541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b95cf2ee8f6185aaef08462c9c92aad5a44e1b64e3b4d26cdd66661134aaa49e

Aliases

arxiv: hep-th/0312309 · arxiv_version: hep-th/0312309v3 · doi: 10.48550/arxiv.hep-th/0312309 · pith_short_12: XFOPF3UPMGC2 · pith_short_16: XFOPF3UPMGC2V3YI · pith_short_8: XFOPF3UP

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/XFOPF3UPMGC2V3YIIYWJZEVK2W \
  | 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: b95cf2ee8f6185aaef08462c9c92aad5a44e1b64e3b4d26cdd66661134aaa49e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84c67cdec9cfc38e08f51e7ad495b4f4d3d51fa9e8d148c9d80f44b5a4b410b9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-12-30T17:05:35Z",
    "title_canon_sha256": "03441bcc9d53b49354567cc7e4648d4654b5aefedf41eb2bbc3002a32131909d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0312309",
    "kind": "arxiv",
    "version": 3
  }
}