Pith Number

pith:CNKJIXEU

pith:2018:CNKJIXEUKKOIUCV2YAQTDCR3SW

not attested not anchored not stored refs pending

Listening to the cohomology of graphs

Oliver Knill

arxiv:1802.01238 v1 · 2018-02-05 · cs.DM · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CNKJIXEUKKOIUCV2YAQTDCR3SW}

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.

Cited by

1 paper in Pith

The energy of a simplicial complex

Receipt and verification

First computed	2026-05-18T00:24:26.980786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1354945c94529c8a0abac021318a3b95921eb127f55101ef596e983191d6a2f6

Aliases

arxiv: 1802.01238 · arxiv_version: 1802.01238v1 · doi: 10.48550/arxiv.1802.01238 · pith_short_12: CNKJIXEUKKOI · pith_short_16: CNKJIXEUKKOIUCV2 · pith_short_8: CNKJIXEU

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/CNKJIXEUKKOIUCV2YAQTDCR3SW \
  | 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: 1354945c94529c8a0abac021318a3b95921eb127f55101ef596e983191d6a2f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "444b8e7f5065c10704d3e2fd35b0905cbe69161a7b51f8c2bf9e8b65b877bc97",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-02-05T02:31:55Z",
    "title_canon_sha256": "6e9943c5fa619bf0d92c57263e4d1490b069db077f1c3c133210a03023ebd458"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01238",
    "kind": "arxiv",
    "version": 1
  }
}