Pith Number

pith:UC26T4QR

pith:2007:UC26T4QR2HY52QZBBUZKXPDXSL

not attested not anchored not stored refs pending

A note on the universality of the Hagedorn behavior of pp-wave strings

Alex Hamilton, Andrea Prinsloo, Jeff Murugan

arxiv:0712.3059 v2 · 2007-12-18 · 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{UC26T4QR2HY52QZBBUZKXPDXSL}

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	2026-05-18T02:35:24.040359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0b5e9f211d1f1dd43210d32abbc7792c75049ca2382cad6eb76a132ff14c137

Aliases

arxiv: 0712.3059 · arxiv_version: 0712.3059v2 · doi: 10.48550/arxiv.0712.3059 · pith_short_12: UC26T4QR2HY5 · pith_short_16: UC26T4QR2HY52QZB · pith_short_8: UC26T4QR

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/UC26T4QR2HY52QZBBUZKXPDXSL \
  | 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: a0b5e9f211d1f1dd43210d32abbc7792c75049ca2382cad6eb76a132ff14c137

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e95a8bc1c0fb8b1609421b0bc8387c67d8f730aea5a51595c17a30dc3e2836d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-12-18T21:20:22Z",
    "title_canon_sha256": "f21288d13a98074242dba60679c113a64d1daf3e9ea43e6ecfc115e07b3deec7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3059",
    "kind": "arxiv",
    "version": 2
  }
}