Pith Number

pith:C3T3JFBA

pith:2005:C3T3JFBAWFQZHIR5ON5ZIYRRQM

not attested not anchored not stored refs pending

Random walks and the Hagedorn transition

Albion Lawrence, Martin Kruczenski

arxiv:hep-th/0508148 v2 · 2005-08-22 · 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{C3T3JFBAWFQZHIR5ON5ZIYRRQM}

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

Scalar Hair at the String-Black-Hole Correspondence

Receipt and verification

First computed	2026-07-04T16:56:18.086830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16e7b49420b16193a23d737b94623183066477724addecf63298cf779040d922

Aliases

arxiv: hep-th/0508148 · arxiv_version: hep-th/0508148v2 · doi: 10.48550/arxiv.hep-th/0508148 · pith_short_12: C3T3JFBAWFQZ · pith_short_16: C3T3JFBAWFQZHIR5 · pith_short_8: C3T3JFBA

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/C3T3JFBAWFQZHIR5ON5ZIYRRQM \
  | 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: 16e7b49420b16193a23d737b94623183066477724addecf63298cf779040d922

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ebb292b18a156828d387f0fdd432298de65993085c446e216440afbb0a6dc21",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-08-22T05:01:06Z",
    "title_canon_sha256": "9f5ccaa365e59ada6db773ee8c97ea3a20385c6a24ffa8e167ddd21d349a9fcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0508148",
    "kind": "arxiv",
    "version": 2
  }
}