Pith Number

pith:Y55HKW5K

pith:2010:Y55HKW5KIM5ZB2DUERNHROXIZM

not attested not anchored not stored refs pending

On the Cohomology Comparison Theorem

Alin Stancu

arxiv:1010.4819 v4 · 2010-10-22 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y55HKW5KIM5ZB2DUERNHROXIZM}

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	2026-05-18T02:54:14.605406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c77a755baa433b90e874245a78bae8cb02307bc9d4d0ece4fbd157043e1a2dfb

Aliases

arxiv: 1010.4819 · arxiv_version: 1010.4819v4 · doi: 10.48550/arxiv.1010.4819 · pith_short_12: Y55HKW5KIM5Z · pith_short_16: Y55HKW5KIM5ZB2DU · pith_short_8: Y55HKW5K

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/Y55HKW5KIM5ZB2DUERNHROXIZM \
  | 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: c77a755baa433b90e874245a78bae8cb02307bc9d4d0ece4fbd157043e1a2dfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "780833a6d3c368f1d2aabd7c742f5f76d098776beba553e10d91764b5d0a158c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-10-22T21:53:16Z",
    "title_canon_sha256": "f4820b1772c948d4bb69c0ace9be7519c07b2ca44646e4f3c71805165ca9d9a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4819",
    "kind": "arxiv",
    "version": 4
  }
}