Pith Number

pith:GG2HC2XV

pith:2007:GG2HC2XVGJPTRBBPIDVM3STYCV

not attested not anchored not stored refs pending

Chow--Kuenneth decomposition for special varieties

Jaya NN Iyer, Stefan M\"uller-Stach

arxiv:0710.4002 v1 · 2007-10-22 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GG2HC2XVGJPTRBBPIDVM3STYCV}

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	2026-05-18T02:39:32.520688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31b4716af5325f38842f40eacdca78157ac3dd667da6fa8a4515c73838712d45

Aliases

arxiv: 0710.4002 · arxiv_version: 0710.4002v1 · doi: 10.48550/arxiv.0710.4002 · pith_short_12: GG2HC2XVGJPT · pith_short_16: GG2HC2XVGJPTRBBP · pith_short_8: GG2HC2XV

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/GG2HC2XVGJPTRBBPIDVM3STYCV \
  | 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: 31b4716af5325f38842f40eacdca78157ac3dd667da6fa8a4515c73838712d45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f53fa9d039ffaee0c6abff415d5f706ddfb879428e70527eb67a0f7da53fc9b",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-10-22T09:24:56Z",
    "title_canon_sha256": "60a9997b8eb92ec5d0de255a9838a8d744c91c7b5c75c31e7ccb7426b3a314c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.4002",
    "kind": "arxiv",
    "version": 1
  }
}