Pith Number

pith:SDYHZFL2

pith:2012:SDYHZFL2GTUWMXVWAHPSTXQ55Z

not attested not anchored not stored refs pending

Maximal unbalanced families

C. Dufort Moraites, J. Tatch Moore, K. Williams, L.J. Billera, Y. Wang

arxiv:1209.2309 v1 · 2012-09-11 · math.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SDYHZFL2GTUWMXVWAHPSTXQ55Z}

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	2026-05-18T03:45:52.235734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90f07c957a34e9665eb601df29de1dee5bed639a36272556c3c464234bc0fd9f

Aliases

arxiv: 1209.2309 · arxiv_version: 1209.2309v1 · doi: 10.48550/arxiv.1209.2309 · pith_short_12: SDYHZFL2GTUW · pith_short_16: SDYHZFL2GTUWMXVW · pith_short_8: SDYHZFL2

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/SDYHZFL2GTUWMXVWAHPSTXQ55Z \
  | 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: 90f07c957a34e9665eb601df29de1dee5bed639a36272556c3c464234bc0fd9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "633e5daae76bd8c83cff99ec97913556b6a9778b61a0d6b25d0deec1659ac4f8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-11T13:06:24Z",
    "title_canon_sha256": "648d1eda0fcb78819c84b6517861a2b4214930017db331fc78228fbdf23fdfd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2309",
    "kind": "arxiv",
    "version": 1
  }
}