Pith Number

pith:GGRT7C2T

pith:2014:GGRT7C2TMPUJNHDTD7OACUA5FL

not attested not anchored not stored refs pending

Poincare-Birkhoff-Witt Theorems

Anne V. Shepler, Sarah Witherspoon

arxiv:1404.6497 v1 · 2014-04-25 · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGRT7C2TMPUJNHDTD7OACUA5FL}

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	2026-05-18T02:53:16.182672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31a33f8b5363e8969c731fdc01501d2ae88b1a69f13c6764ce08e813be2cfb2c

Aliases

arxiv: 1404.6497 · arxiv_version: 1404.6497v1 · doi: 10.48550/arxiv.1404.6497 · pith_short_12: GGRT7C2TMPUJ · pith_short_16: GGRT7C2TMPUJNHDT · pith_short_8: GGRT7C2T

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/GGRT7C2TMPUJNHDTD7OACUA5FL \
  | 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: 31a33f8b5363e8969c731fdc01501d2ae88b1a69f13c6764ce08e813be2cfb2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75687805a4c3276ba9c51aadf117d9b1096b5b9b3a1d78fef84ee9b23da7078b",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-04-25T18:37:07Z",
    "title_canon_sha256": "53597b47132e394d9be8def4a32db6c8ae56446685fd9b4665149acd16ba5094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6497",
    "kind": "arxiv",
    "version": 1
  }
}