Pith Number

pith:OMRFJDTA

pith:2016:OMRFJDTAC7FTLJYEZZFI72ML3I

not attested not anchored not stored refs pending

Characteristic cycle of the exterior product of constructible sheaves

Takeshi Saito

arxiv:1607.03157 v1 · 2016-07-11 · 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{OMRFJDTAC7FTLJYEZZFI72ML3I}

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	2026-05-18T00:26:21.491047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7322548e6017cb35a704ce4a8fe98bda23b78950bb0c748b62aaf5848d6cff06

Aliases

arxiv: 1607.03157 · arxiv_version: 1607.03157v1 · doi: 10.48550/arxiv.1607.03157 · pith_short_12: OMRFJDTAC7FT · pith_short_16: OMRFJDTAC7FTLJYE · pith_short_8: OMRFJDTA

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/OMRFJDTAC7FTLJYEZZFI72ML3I \
  | 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: 7322548e6017cb35a704ce4a8fe98bda23b78950bb0c748b62aaf5848d6cff06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b995728eeba49ed4b4068d73945da58618437c750a44f6c4f325d641be770d63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-11T20:37:03Z",
    "title_canon_sha256": "2859be0b1e7e032ca474cf70364d5658d01d2c46ea65f35584bb0c7458c10d30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03157",
    "kind": "arxiv",
    "version": 1
  }
}