Pith Number

pith:SUBEQWMC

pith:2016:SUBEQWMCACITDYI3OHBWMKOPN5

not attested not anchored not stored refs pending

On the geometry of the countably branching diamond graphs

Denka Kutzarova, Florent P. Baudier, Nirina L. Randrianarivony, Ryan Causey, Sheng Zhang, Stephen DIlworth, Thomas Schlumprecht

arxiv:1612.01984 v1 · 2016-12-06 · math.MG · math.CO · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SUBEQWMCACITDYI3OHBWMKOPN5}

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.

Receipt and verification

First computed	2026-05-18T00:34:23.013249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9502485982009131e11b71c36629cf6f6a52b5b3e35c31af4004b766b121a0a9

Aliases

arxiv: 1612.01984 · arxiv_version: 1612.01984v1 · doi: 10.48550/arxiv.1612.01984 · pith_short_12: SUBEQWMCACIT · pith_short_16: SUBEQWMCACITDYI3 · pith_short_8: SUBEQWMC

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/SUBEQWMCACITDYI3OHBWMKOPN5 \
  | 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: 9502485982009131e11b71c36629cf6f6a52b5b3e35c31af4004b766b121a0a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48d4c2553729fc6f1872671357209d58a18c34b430b0efc66fa4938506764270",
    "cross_cats_sorted": [
      "math.CO",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-12-06T20:37:59Z",
    "title_canon_sha256": "31ad77a58c57eac1122b13816c8c6b6ba0cc7cb115d25949b1b5dacd6b184fd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01984",
    "kind": "arxiv",
    "version": 1
  }
}