Pith Number

pith:HHK46FE3

pith:2013:HHK46FE3QPEZTMORCS5AUEVFSF

not attested not anchored not stored refs pending

Invariants of degree 3 and torsion in the Chow group of a versal flag

Alexander Merkurjev, Alexander Neshitov, Kirill Zainoulline

arxiv:1312.0842 v3 · 2013-12-03 · 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{HHK46FE3QPEZTMORCS5AUEVFSF}

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	2026-05-18T01:35:12.474570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39d5cf149b83c999b1d114ba0a12a5915ca27e199c68ce8d1a6e78608b36fe54

Aliases

arxiv: 1312.0842 · arxiv_version: 1312.0842v3 · doi: 10.48550/arxiv.1312.0842 · pith_short_12: HHK46FE3QPEZ · pith_short_16: HHK46FE3QPEZTMOR · pith_short_8: HHK46FE3

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/HHK46FE3QPEZTMORCS5AUEVFSF \
  | 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: 39d5cf149b83c999b1d114ba0a12a5915ca27e199c68ce8d1a6e78608b36fe54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0248e1d55eb9b9c46985377f2f88b723548f3d1b533d3b646bbd2c314c59f5f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-03T15:02:51Z",
    "title_canon_sha256": "2e86d91e03675438c1226c078262a44085e94f5cb771d21df5782c8c4626d5ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0842",
    "kind": "arxiv",
    "version": 3
  }
}