Pith Number

pith:6JCSZRGE

pith:1997:6JCSZRGE2UMR4T5KGL5FVADURZ

not attested not anchored not stored refs pending

The symmetry of intersection numbers in group theory

Peter Scott

arxiv:math/9712212 v2 · 1997-12-02 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6JCSZRGE2UMR4T5KGL5FVADURZ}

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	2026-05-18T02:37:59.354257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2452cc4c4d5191e4faa32fa5a80748e63a55fd94f3c0dd358cdfe38c6be3e50

Aliases

arxiv: math/9712212 · arxiv_version: math/9712212v2 · doi: 10.48550/arxiv.math/9712212 · pith_short_12: 6JCSZRGE2UMR · pith_short_16: 6JCSZRGE2UMR4T5K · pith_short_8: 6JCSZRGE

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/6JCSZRGE2UMR4T5KGL5FVADURZ \
  | 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: f2452cc4c4d5191e4faa32fa5a80748e63a55fd94f3c0dd358cdfe38c6be3e50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f02d3b1fae69222e5c96a26a79f1746b17fc2af315d16d4df7c831eddac2936",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1997-12-02T16:03:23Z",
    "title_canon_sha256": "c39a9b26fb4300574e5fffde65eca075ce2117293e077ff4a40268bce67ae8d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9712212",
    "kind": "arxiv",
    "version": 2
  }
}