Pith Number

pith:4YNA77U7

pith:2012:4YNA77U7MTCV553RR4M2JIUZT4

not attested not anchored not stored refs pending

Frobenius Splittings

Wilberd van der Kallen

arxiv:1208.3100 v3 · 2012-08-15 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YNA77U7MTCV553RR4M2JIUZT4}

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	2026-05-18T03:20:45.375044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e61a0ffe9f64c55ef7718f19a4a2999f0960da7cddbf830c7f1515264f622dcf

Aliases

arxiv: 1208.3100 · arxiv_version: 1208.3100v3 · doi: 10.48550/arxiv.1208.3100 · pith_short_12: 4YNA77U7MTCV · pith_short_16: 4YNA77U7MTCV553R · pith_short_8: 4YNA77U7

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/4YNA77U7MTCV553RR4M2JIUZT4 \
  | 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: e61a0ffe9f64c55ef7718f19a4a2999f0960da7cddbf830c7f1515264f622dcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed3b0c8b421daf1f72386b06760d3c41da9259b4d9fb3d8012d09bf07a7d6589",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-15T12:05:49Z",
    "title_canon_sha256": "afd81d071335cff300284e18b7093f84d74a94738e6e8e85c47deb08181888ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3100",
    "kind": "arxiv",
    "version": 3
  }
}