Pith Number

pith:Z5GI7CCR

pith:2000:Z5GI7CCRWJPXY2RKZKEAKLINQ6

not attested not anchored not stored refs pending

The Hagedorn transition in non-commutative open string theory

Edward Witten, Igor R. Klebanov, Mukund Rangamani, Sergei Gukov, Steven S. Gubser

arxiv:hep-th/0009140 v3 · 2000-09-18 · 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{Z5GI7CCRWJPXY2RKZKEAKLINQ6}

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	2026-07-04T17:25:45.958153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf4c8f8851b25f7c6a2aca88052d0d87a5a069d9959965b84d569bd99d6d57b7

Aliases

arxiv: hep-th/0009140 · arxiv_version: hep-th/0009140v3 · doi: 10.48550/arxiv.hep-th/0009140 · pith_short_12: Z5GI7CCRWJPX · pith_short_16: Z5GI7CCRWJPXY2RK · pith_short_8: Z5GI7CCR

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/Z5GI7CCRWJPXY2RKZKEAKLINQ6 \
  | 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: cf4c8f8851b25f7c6a2aca88052d0d87a5a069d9959965b84d569bd99d6d57b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "755597f237c8a9a8d79968593768a8511c465f5cd5d839a6d9d8cc783ecefa92",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-09-18T19:05:02Z",
    "title_canon_sha256": "6bed66a4bbd77d03ef7c569cb2e066bdc2d7241c32e512cdff31829dae95617c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0009140",
    "kind": "arxiv",
    "version": 3
  }
}