Pith Number

pith:5YZX2LAD

pith:2005:5YZX2LADZLRS472SC6H2U7LDKS

not attested not anchored not stored refs pending

Birational invariants defined by Lawson homology

Wenchuan Hu

arxiv:math/0511722 v2 · 2005-11-29 · 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{5YZX2LADZLRS472SC6H2U7LDKS}

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	2026-07-04T14:51:45.610694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee337d2c03cae32e7f52178faa7d6354975258b9503ac092b69233a5d9591a2c

Aliases

arxiv: math/0511722 · arxiv_version: math/0511722v2 · doi: 10.48550/arxiv.math/0511722 · pith_short_12: 5YZX2LADZLRS · pith_short_16: 5YZX2LADZLRS472S · pith_short_8: 5YZX2LAD

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/5YZX2LADZLRS472SC6H2U7LDKS \
  | 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: ee337d2c03cae32e7f52178faa7d6354975258b9503ac092b69233a5d9591a2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "661fae53f456e76c9d34677a614e8821f6b64cb5206d705fea0e2eb3929a9bb9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-11-29T23:48:24Z",
    "title_canon_sha256": "3ddaa4dcdfc456b904867fb1d128840ec16ac40d9ae5fa51a5140a82d2282a06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511722",
    "kind": "arxiv",
    "version": 2
  }
}