Pith Number

pith:ZYDMDBDO

pith:2009:ZYDMDBDOKTUATMA74XHRJA3R5P

not attested not anchored not stored refs pending

A Tree Sperner Lemma

Andrew Niedermaier, Douglas Rizzolo, Francis Edward Su

arxiv:0909.0339 v2 · 2009-09-02 · math.CO · 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{ZYDMDBDOKTUATMA74XHRJA3R5P}

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	2026-05-18T03:19:01.919183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce06c1846e54e809b01fe5cf148371ebfb08c8242a466f240317b47b695c89c1

Aliases

arxiv: 0909.0339 · arxiv_version: 0909.0339v2 · doi: 10.48550/arxiv.0909.0339 · pith_short_12: ZYDMDBDOKTUA · pith_short_16: ZYDMDBDOKTUATMA7 · pith_short_8: ZYDMDBDO

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/ZYDMDBDOKTUATMA74XHRJA3R5P \
  | 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: ce06c1846e54e809b01fe5cf148371ebfb08c8242a466f240317b47b695c89c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbef6a799f2877750147c8198810bf337eecf8408da27576b7a6b3941c83170d",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-09-02T08:01:35Z",
    "title_canon_sha256": "ce1ca0c4f51b053cf9fadf470d1ebf6290ad5c6c45b4284b3b5adf8218caa685"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0339",
    "kind": "arxiv",
    "version": 2
  }
}