Pith Number

pith:4OBCUEXP

pith:2016:4OBCUEXPVRDJRNMDMX4EKXRCTA

not attested not anchored not stored refs pending

Decomposition spaces in Combinatorics

Andrew Tonks, Imma G\'alvez-Carrillo, Joachim Kock

arxiv:1612.09225 v3 · 2016-12-29 · math.CO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OBCUEXPVRDJRNMDMX4EKXRCTA}

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

The decomposition space perspective

Receipt and verification

First computed	2026-07-05T09:21:34.247206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3822a12efac4698b58365f8455e22982de1d032997728c23470cef55567b59c

Aliases

arxiv: 1612.09225 · arxiv_version: 1612.09225v3 · doi: 10.48550/arxiv.1612.09225 · pith_short_12: 4OBCUEXPVRDJ · pith_short_16: 4OBCUEXPVRDJRNMD · pith_short_8: 4OBCUEXP

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/4OBCUEXPVRDJRNMDMX4EKXRCTA \
  | 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: e3822a12efac4698b58365f8455e22982de1d032997728c23470cef55567b59c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a56b462f08e1849372480f669820d0a4f7deccde54dd6fe0b14fd02ca064bd12",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-29T18:04:29Z",
    "title_canon_sha256": "8c5a50f0e45477d6e80f12b601e9f8586ec70bea01a1d4cd91aea7534d168746"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09225",
    "kind": "arxiv",
    "version": 3
  }
}