Pith Number

pith:PDMBLLEQ

pith:2015:PDMBLLEQQR2B42OBNJYURCYMUD

not attested not anchored not stored refs pending

Towards extending the Ahlswede-Khachatrian theorem to cross t-intersecting families

Mark Siggers, Norihide Tokushige, Sang June Lee

arxiv:1509.02249 v1 · 2015-09-08 · 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{PDMBLLEQQR2B42OBNJYURCYMUD}

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	2026-05-18T01:33:41.404478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78d815ac9084741e69c16a71488b0ca0d0cb48da2f721ebdecccb84e73f2638a

Aliases

arxiv: 1509.02249 · arxiv_version: 1509.02249v1 · doi: 10.48550/arxiv.1509.02249 · pith_short_12: PDMBLLEQQR2B · pith_short_16: PDMBLLEQQR2B42OB · pith_short_8: PDMBLLEQ

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/PDMBLLEQQR2B42OBNJYURCYMUD \
  | 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: 78d815ac9084741e69c16a71488b0ca0d0cb48da2f721ebdecccb84e73f2638a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5c36baf9d5562b8d5e552285e473993c371535dbc34957082c0ad44bfa57793",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-08T04:14:50Z",
    "title_canon_sha256": "1d53c10d35e4ae6e5acde4cf10680f2c01b794334ef6b816471057bc985cef06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02249",
    "kind": "arxiv",
    "version": 1
  }
}