Pith Number

pith:XUWVH27F

pith:2002:XUWVH27FGOB4FE4CRWONLPR43W

not attested not anchored not stored refs pending

Hagedorn transition for strings on pp-waves and tori with chemical potentials

Chung-I Tan, David A. Lowe, Richard C. Brower

arxiv:hep-th/0211201 v2 · 2002-11-21 · 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{XUWVH27FGOB4FE4CRWONLPR43W}

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	2026-07-04T17:24:55.234520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd2d53ebe53383c293828d9cd5be3cdd84cbaff32c9797250087432037b98b19

Aliases

arxiv: hep-th/0211201 · arxiv_version: hep-th/0211201v2 · doi: 10.48550/arxiv.hep-th/0211201 · pith_short_12: XUWVH27FGOB4 · pith_short_16: XUWVH27FGOB4FE4C · pith_short_8: XUWVH27F

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/XUWVH27FGOB4FE4CRWONLPR43W \
  | 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: bd2d53ebe53383c293828d9cd5be3cdd84cbaff32c9797250087432037b98b19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb61cec687c2ed2e290736c5c25db42f43e1b5e2d9d4f28544067d44e4a75333",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-11-21T19:21:37Z",
    "title_canon_sha256": "582880486433b69baadc0ce9f55d1feec458c72c4693935b672525b6e431c72e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0211201",
    "kind": "arxiv",
    "version": 2
  }
}