Pith Number

pith:GOQMAAQX

pith:2011:GOQMAAQXF3DQUDIWXOFDU6HNP6

not attested not anchored not stored refs pending

Vector Fields and Luna Strata

Gerald W. Schwarz

arxiv:1110.3523 v3 · 2011-10-16 · math.GR · 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{GOQMAAQXF3DQUDIWXOFDU6HNP6}

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	2026-05-18T03:55:02.809970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33a0c002172ec70a0d16bb8a3a78ed7fb2d224e38c87f1255f6d3869300ca23e

Aliases

arxiv: 1110.3523 · arxiv_version: 1110.3523v3 · doi: 10.48550/arxiv.1110.3523 · pith_short_12: GOQMAAQXF3DQ · pith_short_16: GOQMAAQXF3DQUDIW · pith_short_8: GOQMAAQX

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/GOQMAAQXF3DQUDIWXOFDU6HNP6 \
  | 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: 33a0c002172ec70a0d16bb8a3a78ed7fb2d224e38c87f1255f6d3869300ca23e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "482943ba03ad2fa568b4f9fe9e21fbe31f8883efbb57b23117224fad2b174d11",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-10-16T20:40:45Z",
    "title_canon_sha256": "d042aa4f0bc0764497bf0dd13b1cf869742c23d1200663c3452563e8c0db9652"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3523",
    "kind": "arxiv",
    "version": 3
  }
}