Pith Number

pith:OEU7CVTP

pith:2002:OEU7CVTPW7L4OCN74GLTNAP3MP

not attested not anchored not stored refs pending

Lie Elements and Knuth Relations

Manfred Schocker

arxiv:math/0209327 v1 · 2002-09-24 · math.RA · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OEU7CVTPW7L4OCN74GLTNAP3MP}

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.

Cited by

1 paper in Pith

One-loop open-string integrals from differential equations: all-order alpha'-expansions at n points

Receipt and verification

First computed	2026-07-04T14:36:28.628355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7129f1566fb7d7c709bfe1973681fb63ebd42e85e3ae9b787b03d1b57469fbcc

Aliases

arxiv: math/0209327 · arxiv_version: math/0209327v1 · doi: 10.48550/arxiv.math/0209327 · pith_short_12: OEU7CVTPW7L4 · pith_short_16: OEU7CVTPW7L4OCN7 · pith_short_8: OEU7CVTP

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/OEU7CVTPW7L4OCN74GLTNAP3MP \
  | 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: 7129f1566fb7d7c709bfe1973681fb63ebd42e85e3ae9b787b03d1b57469fbcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "042d742c8bbead603036dc366d6081e45acdf3dd96abd93a6512783fad170011",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2002-09-24T19:05:58Z",
    "title_canon_sha256": "829be0bfcb2bf767022700e874a12215ea3d01e619457026a86ab46c99922861"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0209327",
    "kind": "arxiv",
    "version": 1
  }
}