Pith Number

pith:66HJOUHZ

pith:2016:66HJOUHZGCLWR675W5PAXV6NWC

not attested not anchored not stored refs pending

Difference modules and difference cohomology

Marcin Chalupnik, Piotr Kowalski

arxiv:1612.06960 v2 · 2016-12-21 · 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{66HJOUHZGCLWR675W5PAXV6NWC}

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	2026-05-18T00:01:30.673874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f78e9750f9309768fbfdb75e0bd7cdb0b5b31083d1eb165e902ba3729d502c11

Aliases

arxiv: 1612.06960 · arxiv_version: 1612.06960v2 · doi: 10.48550/arxiv.1612.06960 · pith_short_12: 66HJOUHZGCLW · pith_short_16: 66HJOUHZGCLWR675 · pith_short_8: 66HJOUHZ

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/66HJOUHZGCLWR675W5PAXV6NWC \
  | 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: f78e9750f9309768fbfdb75e0bd7cdb0b5b31083d1eb165e902ba3729d502c11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13f1325dd1cdd036d2930a75309c4e9a5a0b51451ce7df6dd0cd1a2229d3d674",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-21T03:13:02Z",
    "title_canon_sha256": "81da051db1830aaa4e1d6b06c3b2ed4c7832dfb6603e5ef245ec2d2885b191b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06960",
    "kind": "arxiv",
    "version": 2
  }
}