Pith Number

pith:NLKTSZVY

pith:2016:NLKTSZVYCAHPH45UHLY44KK2LR

not attested not anchored not stored refs pending

Hirzebruch $\chi_y$-genera modulo $8$ of fiber bundles for odd integers $y$

Carmen Rovi, Shoji Yokura

arxiv:1609.02118 v2 · 2016-09-07 · math.AT · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NLKTSZVYCAHPH45UHLY44KK2LR}

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	2026-05-18T00:35:09.425972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ad53966b8100ef3f3b43af1ce295a5c647879cb7a7b64ec4986805d7f06b7f2

Aliases

arxiv: 1609.02118 · arxiv_version: 1609.02118v2 · doi: 10.48550/arxiv.1609.02118 · pith_short_12: NLKTSZVYCAHP · pith_short_16: NLKTSZVYCAHPH45U · pith_short_8: NLKTSZVY

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/NLKTSZVYCAHPH45UHLY44KK2LR \
  | 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: 6ad53966b8100ef3f3b43af1ce295a5c647879cb7a7b64ec4986805d7f06b7f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c5aa86f6b3eedcdd8f99552d18d0d1492893b07a70e925f09854ee2bd1a45e2",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-09-07T19:14:55Z",
    "title_canon_sha256": "1946c32c8a095a1ee9c3a10fd63a5fce83cc61808d22f0843171dabafb9bf123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02118",
    "kind": "arxiv",
    "version": 2
  }
}