Pith Number

pith:4GJHEGUC

pith:2023:4GJHEGUCFF6FLWZZFPVRDZE37W

not attested not anchored not stored refs pending

Cohomology of open sets

Oliver Knill

arxiv:2305.12613 v1 · 2023-05-22 · cs.DM · math.CO · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GJHEGUCFF6FLWZZFPVRDZE37W}

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	2026-07-05T06:12:12.402725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e192721a82297c55db392beb11e49bfdbcc2e8c06a32b184b7404ddeefe59dc8

Aliases

arxiv: 2305.12613 · arxiv_version: 2305.12613v1 · doi: 10.48550/arxiv.2305.12613 · pith_short_12: 4GJHEGUCFF6F · pith_short_16: 4GJHEGUCFF6FLWZZ · pith_short_8: 4GJHEGUC

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/4GJHEGUCFF6FLWZZFPVRDZE37W \
  | 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: e192721a82297c55db392beb11e49bfdbcc2e8c06a32b184b7404ddeefe59dc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "336beaf303b31424506550220abeb5235137782f72a5d7e62a83b9f22a1e206c",
    "cross_cats_sorted": [
      "math.CO",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2023-05-22T00:41:01Z",
    "title_canon_sha256": "48f183ab5463db854796e17b0563402bc3b0c72e8f6ed14a34b65ff0f68128fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.12613",
    "kind": "arxiv",
    "version": 1
  }
}