Pith Number

pith:FJI5X7DT

pith:2019:FJI5X7DT2D3XFUHW5576I72L3D

not attested not anchored not stored refs pending

Energized simplicial complexes

Oliver Knill

arxiv:1908.06563 v1 · 2019-08-19 · 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{FJI5X7DT2D3XFUHW5576I72L3D}

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

Dehn Sommerville Manifolds

Receipt and verification

First computed	2026-07-04T23:58:17.204465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a51dbfc73d0f772d0f6ef7fe47f4bd8e72e7b5f9fd381a3f284c76019dbb53a

Aliases

arxiv: 1908.06563 · arxiv_version: 1908.06563v1 · doi: 10.48550/arxiv.1908.06563 · pith_short_12: FJI5X7DT2D3X · pith_short_16: FJI5X7DT2D3XFUHW · pith_short_8: FJI5X7DT

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/FJI5X7DT2D3XFUHW5576I72L3D \
  | 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: 2a51dbfc73d0f772d0f6ef7fe47f4bd8e72e7b5f9fd381a3f284c76019dbb53a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02f7dba00a68cb61241f565bd5bc1d40bec65787702cfc1d0562620a189f2f38",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-19T02:40:27Z",
    "title_canon_sha256": "d720e2378a0253edc5b3697449a16e2f16374cbba503a84c5beb6ea7a64d384e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06563",
    "kind": "arxiv",
    "version": 1
  }
}