Pith Number

pith:3KFZPRMJ

pith:2012:3KFZPRMJNC3AYKSWKXAW6TO7AY

not attested not anchored not stored refs pending

The Bertini involution

Alex Degtyarev

arxiv:1212.0991 v1 · 2012-12-05 · 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{3KFZPRMJNC3AYKSWKXAW6TO7AY}

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	2026-05-18T03:39:06.768307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da8b97c58968b60c2a5655c16f4ddf06032f7ad5711e1622b658280f7c585319

Aliases

arxiv: 1212.0991 · arxiv_version: 1212.0991v1 · doi: 10.48550/arxiv.1212.0991 · pith_short_12: 3KFZPRMJNC3A · pith_short_16: 3KFZPRMJNC3AYKSW · pith_short_8: 3KFZPRMJ

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/3KFZPRMJNC3AYKSWKXAW6TO7AY \
  | 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: da8b97c58968b60c2a5655c16f4ddf06032f7ad5711e1622b658280f7c585319

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8450de00a380c6664530738aad02a2ee6e77ebdb75f38008dc868bebbcdf2fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-05T10:51:41Z",
    "title_canon_sha256": "da91100537d305adb1e92c5ee8f4e2c7ec655a164a860a3e6722128afee1048d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0991",
    "kind": "arxiv",
    "version": 1
  }
}