Pith Number

pith:72BDLZGN

pith:2012:72BDLZGNHGK77PZLM4CSFHT2M7

not attested not anchored not stored refs pending

The special linear version of the projective bundle theorem

Alexey Ananyevskiy

arxiv:1205.6067 v3 · 2012-05-28 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72BDLZGNHGK77PZLM4CSFHT2M7}

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	2026-05-17T23:53:18.697351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe8235e4cd3995ffbf2b6705229e7a67e5a98b0c63922e82fb121ef49088f3eb

Aliases

arxiv: 1205.6067 · arxiv_version: 1205.6067v3 · doi: 10.48550/arxiv.1205.6067 · pith_short_12: 72BDLZGNHGK7 · pith_short_16: 72BDLZGNHGK77PZL · pith_short_8: 72BDLZGN

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/72BDLZGNHGK77PZLM4CSFHT2M7 \
  | 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: fe8235e4cd3995ffbf2b6705229e7a67e5a98b0c63922e82fb121ef49088f3eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceba05fc27bc843e80271b94a5a6d376a20aadad5f2aaf6f5dcdfd5344e5ed82",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-28T09:51:46Z",
    "title_canon_sha256": "c0aeacbfaf67b975a72f0117de5b77108ce69ff81d067016779e854a6eb3819e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6067",
    "kind": "arxiv",
    "version": 3
  }
}