Pith Number

pith:IFXCHU2S

pith:2011:IFXCHU2SZTQXH6IZOIJPEO3YCD

not attested not anchored not stored refs pending

Tilted Sperner Families

Eoin Long, Imre Leader

arxiv:1101.4151 v1 · 2011-01-21 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFXCHU2SZTQXH6IZOIJPEO3YCD}

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	2026-05-18T04:31:12.639310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

416e23d352cce173f9197212f23b7810fdca566331d1dd8b74474218f5cee67b

Aliases

arxiv: 1101.4151 · arxiv_version: 1101.4151v1 · doi: 10.48550/arxiv.1101.4151 · pith_short_12: IFXCHU2SZTQX · pith_short_16: IFXCHU2SZTQXH6IZ · pith_short_8: IFXCHU2S

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/IFXCHU2SZTQXH6IZOIJPEO3YCD \
  | 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: 416e23d352cce173f9197212f23b7810fdca566331d1dd8b74474218f5cee67b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c99916ec76eed9bbc78d24d9b28147c1d60ce9f54d7037c0c220010542f481b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-21T14:54:46Z",
    "title_canon_sha256": "b4a3ae707ce597e8675ac826571d0fa04a5cfb23c9812c6f090466beb32070b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4151",
    "kind": "arxiv",
    "version": 1
  }
}