Pith Number

pith:XIVVND7Z

pith:2010:XIVVND7Z3JUR7B2XINM6UCBUZL

not attested not anchored not stored refs pending

The second Stiefel-Whitney classes of l-adic cohomology

Takeshi Saito

arxiv:1012.1922 v2 · 2010-12-09 · 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{XIVVND7Z3JUR7B2XINM6UCBUZL}

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	2026-05-18T03:16:17.805436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba2b568ff9da691f87574359ea0834cae687c50fcc1d824396eb8f822efb1e88

Aliases

arxiv: 1012.1922 · arxiv_version: 1012.1922v2 · doi: 10.48550/arxiv.1012.1922 · pith_short_12: XIVVND7Z3JUR · pith_short_16: XIVVND7Z3JUR7B2X · pith_short_8: XIVVND7Z

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/XIVVND7Z3JUR7B2XINM6UCBUZL \
  | 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: ba2b568ff9da691f87574359ea0834cae687c50fcc1d824396eb8f822efb1e88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de4c177fc91829e606bab9122d64b2611eb1218a5fa58909c62bc449e10bcbaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-09T05:10:25Z",
    "title_canon_sha256": "6bb52e1f98fe9ce1a750c12977441cf7a8fe8bb17de11bb8bdee188e3f7314b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1922",
    "kind": "arxiv",
    "version": 2
  }
}