Pith Number

pith:UZFHJ32Z

pith:2007:UZFHJ32ZLB46V54XA3G4FEEFGP

not attested not anchored not stored refs pending

Parshin Residues via Coboundary Operators

Mikhail Mazin

arxiv:0707.3748 v3 · 2007-07-25 · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZFHJ32ZLB46V54XA3G4FEEFGP}

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	2026-05-18T02:24:57.958677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a64a74ef595879eaf79706cdc2908533e7c56378b2ab1f5b340ce2167ac18885

Aliases

arxiv: 0707.3748 · arxiv_version: 0707.3748v3 · doi: 10.48550/arxiv.0707.3748 · pith_short_12: UZFHJ32ZLB46 · pith_short_16: UZFHJ32ZLB46V54X · pith_short_8: UZFHJ32Z

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/UZFHJ32ZLB46V54XA3G4FEEFGP \
  | 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: a64a74ef595879eaf79706cdc2908533e7c56378b2ab1f5b340ce2167ac18885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df6fae8606bbc3ebadc568fac5edc9e79cfc7660eef5b5ee33fd48d4ee8bf0d8",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-07-25T14:01:48Z",
    "title_canon_sha256": "83d957353190cdaae7b2a60a84a9a2180d2c5fe4a74eef561d6284909cfade94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.3748",
    "kind": "arxiv",
    "version": 3
  }
}