Pith Number

pith:K7P3H5PZ

pith:2007:K7P3H5PZM4G4GZ2P4CHZUUEL7Z

not attested not anchored not stored refs pending

Weight structures vs. $t$-structures; weight filtrations, spectral sequences, and complexes (for motives and in general)

M.V. Bondarko

arxiv:0704.4003 v9 · 2007-04-30 · math.KT · 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{K7P3H5PZM4G4GZ2P4CHZUUEL7Z}

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.

Cited by

1 paper in Pith

Fishing for complements

Receipt and verification

First computed	2026-05-18T01:18:55.919352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57dfb3f5f9670dc3674fe08f9a508bfe673ebb7439546eddd01448d655232a56

Aliases

arxiv: 0704.4003 · arxiv_version: 0704.4003v9 · doi: 10.48550/arxiv.0704.4003 · pith_short_12: K7P3H5PZM4G4 · pith_short_16: K7P3H5PZM4G4GZ2P · pith_short_8: K7P3H5PZ

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/K7P3H5PZM4G4GZ2P4CHZUUEL7Z \
  | 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: 57dfb3f5f9670dc3674fe08f9a508bfe673ebb7439546eddd01448d655232a56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60269b89d94da0cc4da2a525c58d4f808ddf7ac931f06144af695528f596f5e0",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2007-04-30T19:53:00Z",
    "title_canon_sha256": "ca958bcd9670a7450c6a32becc59933b1448db79bd779cddfef6ff0348e44789"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.4003",
    "kind": "arxiv",
    "version": 9
  }
}