Pith Number

pith:XQYGIQ3Y

pith:2016:XQYGIQ3YL3VBLK2IOTNFLNV4DE

not attested not anchored not stored refs pending

Hirzebruch $\chi_y$-genera of complex algebraic fiber bundles -- the multiplicativity of the signature modulo $4$ --

Shoji Yokura

arxiv:1601.04629 v4 · 2016-01-18 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQYGIQ3YL3VBLK2IOTNFLNV4DE}

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	2026-05-18T00:24:40.022743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc306443785eea15ab4874da55b6bc1938a3eeb7042b3f19c3259faf54e554b5

Aliases

arxiv: 1601.04629 · arxiv_version: 1601.04629v4 · doi: 10.48550/arxiv.1601.04629 · pith_short_12: XQYGIQ3YL3VB · pith_short_16: XQYGIQ3YL3VBLK2I · pith_short_8: XQYGIQ3Y

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/XQYGIQ3YL3VBLK2IOTNFLNV4DE \
  | 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: bc306443785eea15ab4874da55b6bc1938a3eeb7042b3f19c3259faf54e554b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92077d1aa2f4c7f2d3d4142daa9c711454b194fb6191c746ede1540cf30ab531",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-18T18:01:40Z",
    "title_canon_sha256": "01ff0899a920359a04c81005ad128e3f942cfcf47718cc32fcbe95e1a90e8116"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04629",
    "kind": "arxiv",
    "version": 4
  }
}