Pith Number

pith:QLJIYAIQ

pith:2008:QLJIYAIQ3VHFD5X775HBCJKVSX

not attested not anchored not stored refs pending

Algebraic Cycles of a Fixed Degree

Wenchuan Hu

arxiv:0810.2840 v1 · 2008-10-16 · 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{QLJIYAIQ3VHFD5X775HBCJKVSX}

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	2026-07-04T15:15:10.640695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82d28c0110dd4e51f6ffff4e11255595ca39fc878ab183a87941e0c981d20e97

Aliases

arxiv: 0810.2840 · arxiv_version: 0810.2840v1 · doi: 10.48550/arxiv.0810.2840 · pith_short_12: QLJIYAIQ3VHF · pith_short_16: QLJIYAIQ3VHFD5X7 · pith_short_8: QLJIYAIQ

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/QLJIYAIQ3VHFD5X775HBCJKVSX \
  | 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: 82d28c0110dd4e51f6ffff4e11255595ca39fc878ab183a87941e0c981d20e97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e01969ee3c6ca2f9bad8172aad80a242c5be1ea3eb650294291cfe4b6e0217e1",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-10-16T16:24:05Z",
    "title_canon_sha256": "21159224c14cae2031695667c18d6eec6529e298883c2f09ad28ed25fe2dd6a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.2840",
    "kind": "arxiv",
    "version": 1
  }
}