Pith Number

pith:DISUA4YQ

pith:1998:DISUA4YQGYZEZDEG2VG5T4JZVE

not attested not anchored not stored refs pending

The Hagedorn Transition and the Matrix Model for Strings

B. Sathiapalan

arxiv:hep-th/9805126 v4 · 1998-05-20 · 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{DISUA4YQGYZEZDEG2VG5T4JZVE}

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	2026-05-18T02:35:55.080725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a2540731036324c8c86d54dd9f139a9387bf48ba6bf60b0c45ba96c50b3a945

Aliases

arxiv: hep-th/9805126 · arxiv_version: hep-th/9805126v4 · doi: 10.48550/arxiv.hep-th/9805126 · pith_short_12: DISUA4YQGYZE · pith_short_16: DISUA4YQGYZEZDEG · pith_short_8: DISUA4YQ

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/DISUA4YQGYZEZDEG2VG5T4JZVE \
  | 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: 1a2540731036324c8c86d54dd9f139a9387bf48ba6bf60b0c45ba96c50b3a945

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60ed3d4305acbdb8f912689521c150342934eee9e1efa1ba7e8bee76a07370ec",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-05-20T06:37:27Z",
    "title_canon_sha256": "e814c2b089f21c35ccc5a43cb9c713ea3b61b7ef7a7a7cd5eaa031f21cb27a85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9805126",
    "kind": "arxiv",
    "version": 4
  }
}