Pith Number

pith:2XEOQ4SI

pith:2019:2XEOQ4SIKMSXZ5JEY76ODVXEWV

not attested not anchored not stored refs pending

The energy of a simplicial complex

Oliver Knill

arxiv:1907.03369 v1 · 2019-07-07 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XEOQ4SIKMSXZ5JEY76ODVXEWV}

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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 counting matrix of a simplicial complex

Receipt and verification

First computed	2026-05-17T23:41:16.414468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5c8e8724853257cf524c7fce1d6e4b57b366bac1fb90540e6f0409b0717c0d2

Aliases

arxiv: 1907.03369 · arxiv_version: 1907.03369v1 · doi: 10.48550/arxiv.1907.03369 · pith_short_12: 2XEOQ4SIKMSX · pith_short_16: 2XEOQ4SIKMSXZ5JE · pith_short_8: 2XEOQ4SI

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/2XEOQ4SIKMSXZ5JEY76ODVXEWV \
  | 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: d5c8e8724853257cf524c7fce1d6e4b57b366bac1fb90540e6f0409b0717c0d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cabdfecb27b6b0905ee4c982bf2abf09f6d334cfbd5fbfc08309ae82695406bf",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-07T23:47:46Z",
    "title_canon_sha256": "8e32a04d5a9f3089e283fa8c371f2ff20f13e19d0600a98f4abf2bf2ac47c133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03369",
    "kind": "arxiv",
    "version": 1
  }
}