Pith Number

pith:NTGFM4FS

pith:2015:NTGFM4FS7W5DNLMU7I6SH57Q5Y

not attested not anchored not stored refs pending

String Bits at Finite Temperature and the Hagedorn Phase

Charles B. Thorn

arxiv:1507.03036 v2 · 2015-07-10 · 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{NTGFM4FS7W5DNLMU7I6SH57Q5Y}

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	2026-05-18T00:38:11.811089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ccc5670b2fdba36ad94fa3d23f7f0ee105c605340fbd86e451ab223e15e92a2

Aliases

arxiv: 1507.03036 · arxiv_version: 1507.03036v2 · doi: 10.48550/arxiv.1507.03036 · pith_short_12: NTGFM4FS7W5D · pith_short_16: NTGFM4FS7W5DNLMU · pith_short_8: NTGFM4FS

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/NTGFM4FS7W5DNLMU7I6SH57Q5Y \
  | 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: 6ccc5670b2fdba36ad94fa3d23f7f0ee105c605340fbd86e451ab223e15e92a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aef23cd8c0d9a4d3defbc2c97dcdd6c305f8d7a8cc6b52820d314ca5e502626c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-07-10T21:42:43Z",
    "title_canon_sha256": "63ebad3ae61a0f49266601119255bdd0e71720dec90a5c2e5525775574fa795a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03036",
    "kind": "arxiv",
    "version": 2
  }
}