Pith Number

pith:EK2GUJJG

pith:2002:EK2GUJJGLBG7QXYDWWCMZLGZKM

not attested not anchored not stored refs pending

Short Distance Expansion from the Dual Representation of Infinite Dimensional Lie Algebras

J. Phillips, S. James Gates Jr, V.G.J. Rodgers, W.D. Linch III

arxiv:hep-th/0211021 v2 · 2002-11-04 · 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{EK2GUJJGLBG7QXYDWWCMZLGZKM}

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	2026-05-17T23:50:52.822549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22b46a2526584df85f03b584ccacd9531154697b41be4af5b895edb73e326381

Aliases

arxiv: hep-th/0211021 · arxiv_version: hep-th/0211021v2 · doi: 10.48550/arxiv.hep-th/0211021 · pith_short_12: EK2GUJJGLBG7 · pith_short_16: EK2GUJJGLBG7QXYD · pith_short_8: EK2GUJJG

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/EK2GUJJGLBG7QXYDWWCMZLGZKM \
  | 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: 22b46a2526584df85f03b584ccacd9531154697b41be4af5b895edb73e326381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e719c53dcde63095b7e3eeb6fb750fc5473ee22220ada055b51d705fcaf75eed",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-11-04T18:58:37Z",
    "title_canon_sha256": "dd521964f09a87656f8a38b59e016f604e64c63d8b6cd448cde76084f21469bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0211021",
    "kind": "arxiv",
    "version": 2
  }
}