Pith Number

pith:7XJUDDIN

pith:2015:7XJUDDIN42WDEJKAPEWS2JLNRE

not attested not anchored not stored refs pending

Global Oort Groups

David Harbater, Robert Guralnick, Ted Chinburg

arxiv:1512.09112 v1 · 2015-12-30 · math.GR · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7XJUDDIN42WDEJKAPEWS2JLNRE}

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	2026-05-18T01:23:33.984639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdd3418d0de6ac322540792d2d256d89206c94157effe5bcd8de97e0f4f6cc29

Aliases

arxiv: 1512.09112 · arxiv_version: 1512.09112v1 · doi: 10.48550/arxiv.1512.09112 · pith_short_12: 7XJUDDIN42WD · pith_short_16: 7XJUDDIN42WDEJKA · pith_short_8: 7XJUDDIN

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/7XJUDDIN42WDEJKAPEWS2JLNRE \
  | 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: fdd3418d0de6ac322540792d2d256d89206c94157effe5bcd8de97e0f4f6cc29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3959b4338b2d4178325200819a997e0ded55c931a3c8c93407193a63d1a2e70d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-12-30T20:41:54Z",
    "title_canon_sha256": "6b66bdd9348141259b7d82d34eee4fbe2d82710ec45f2b31c576f7ab0a4a62c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09112",
    "kind": "arxiv",
    "version": 1
  }
}