Pith Number

pith:RHKZZYPO

pith:2017:RHKZZYPOS3AAUX5MN2LJ5I7BSJ

not attested not anchored not stored refs pending

One can hear the Euler characteristic of a simplicial complex

Oliver Knill

arxiv:1711.09527 v1 · 2017-11-27 · math.CO · cs.DM · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RHKZZYPOS3AAUX5MN2LJ5I7BSJ}

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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	2026-05-18T00:29:35.267866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89d59ce1ee96c00a5fac6e969ea3e1925b42e4c6ead0f67c2f4bde79194bb3ed

Aliases

arxiv: 1711.09527 · arxiv_version: 1711.09527v1 · doi: 10.48550/arxiv.1711.09527 · pith_short_12: RHKZZYPOS3AA · pith_short_16: RHKZZYPOS3AAUX5M · pith_short_8: RHKZZYPO

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/RHKZZYPOS3AAUX5MN2LJ5I7BSJ \
  | 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: 89d59ce1ee96c00a5fac6e969ea3e1925b42e4c6ead0f67c2f4bde79194bb3ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f8b71481625e2dd5c787f9983900e01ad4a46d05d8260ee6a563a3dd59bf6d5",
    "cross_cats_sorted": [
      "cs.DM",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-27T04:25:44Z",
    "title_canon_sha256": "22685dab64dde708e218ff76a9aebb75ee9823e25eb8b745d2d57a144dff3300"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09527",
    "kind": "arxiv",
    "version": 1
  }
}