Pith Number

pith:FL747COA

pith:2011:FL747COA7WKSLIA2VXJV4ZCVH7

not attested not anchored not stored refs pending

Representations With a Reduced Null Cone

Gerald W. Schwarz, Hanspeter Kraft

arxiv:1112.3634 v1 · 2011-12-15 · math.AG · math.AC · 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{FL747COA7WKSLIA2VXJV4ZCVH7}

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	2026-05-18T04:06:18.079685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2affcf89c0fd9525a01aadd35e64553fc8ea1566a89abf8fa720bd64b4f3bd81

Aliases

arxiv: 1112.3634 · arxiv_version: 1112.3634v1 · doi: 10.48550/arxiv.1112.3634 · pith_short_12: FL747COA7WKS · pith_short_16: FL747COA7WKSLIA2 · pith_short_8: FL747COA

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/FL747COA7WKSLIA2VXJV4ZCVH7 \
  | 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: 2affcf89c0fd9525a01aadd35e64553fc8ea1566a89abf8fa720bd64b4f3bd81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3431ebe82b227c7d449cee600a95840233ab52e3a9d2467e6092001323d1a3f9",
    "cross_cats_sorted": [
      "math.AC",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-15T20:15:48Z",
    "title_canon_sha256": "85ea763a1cc7cc0adeabbbde801469a2895454b4879210caece9a3de582ab02f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3634",
    "kind": "arxiv",
    "version": 1
  }
}