Pith Number

pith:JYM4LZKL

pith:2004:JYM4LZKLX3WUR722KZCIOMAGIS

not attested not anchored not stored refs pending

Periods for holomorphic maps via Lefschetz numbers

Jaume Llibre, Michael Todd

arxiv:math/0409131 v1 · 2004-09-08 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JYM4LZKLX3WUR722KZCIOMAGIS}

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	2026-05-18T01:38:27.150309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e19c5e54bbeed48ff5a564487300644bc0efa3d0afd8f8cc475045528d47c47

Aliases

arxiv: math/0409131 · arxiv_version: math/0409131v1 · doi: 10.48550/arxiv.math/0409131 · pith_short_12: JYM4LZKLX3WU · pith_short_16: JYM4LZKLX3WUR722 · pith_short_8: JYM4LZKL

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/JYM4LZKLX3WUR722KZCIOMAGIS \
  | 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: 4e19c5e54bbeed48ff5a564487300644bc0efa3d0afd8f8cc475045528d47c47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1829f8035c4bcc8f18100085b062c829cdf51a56b956fca6f809ff65adc7628",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2004-09-08T12:45:51Z",
    "title_canon_sha256": "f726670da5073f7c46136ff291994096d1752ebf95dad01a7f8d11af3f840e14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409131",
    "kind": "arxiv",
    "version": 1
  }
}