Pith Number

pith:OAXLRE2K

pith:2023:OAXLRE2KUCBI56Y43MLCDHJ75N

not attested not anchored not stored refs pending

The Sphere Formula

Oliver Knill

arxiv:2301.05736 v1 · 2023-01-13 · 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{OAXLRE2KUCBI56Y43MLCDHJ75N}

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	2026-07-05T05:32:57.090445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

702eb8934aa0828efb1cdb16219d3feb65081d486958a6f90ea0bb2bd0d02e48

Aliases

arxiv: 2301.05736 · arxiv_version: 2301.05736v1 · doi: 10.48550/arxiv.2301.05736 · pith_short_12: OAXLRE2KUCBI · pith_short_16: OAXLRE2KUCBI56Y4 · pith_short_8: OAXLRE2K

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/OAXLRE2KUCBI56Y43MLCDHJ75N \
  | 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: 702eb8934aa0828efb1cdb16219d3feb65081d486958a6f90ea0bb2bd0d02e48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46ec6b8dada40f5bdac547846305ba9c2c74789e080d536f40977fe1cdda4b39",
    "cross_cats_sorted": [
      "cs.DM",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-01-13T19:31:36Z",
    "title_canon_sha256": "cfddb6f175874c2dea507e63ed647c351feba83145fe138786e22a8d871578b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.05736",
    "kind": "arxiv",
    "version": 1
  }
}