Pith Number

pith:4JXAP3VB

pith:2010:4JXAP3VBH6FUEHWHI2KY3WYVTO

not attested not anchored not stored refs pending

Stability anaylsis for k-wise intersecting families

Vikram Kamat

arxiv:1009.3973 v2 · 2010-09-21 · 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{4JXAP3VBH6FUEHWHI2KY3WYVTO}

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	2026-05-18T03:29:16.574833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e26e07eea13f8b421ec746958ddb159b9839cd05b4ad18964b0c5646d702e484

Aliases

arxiv: 1009.3973 · arxiv_version: 1009.3973v2 · doi: 10.48550/arxiv.1009.3973 · pith_short_12: 4JXAP3VBH6FU · pith_short_16: 4JXAP3VBH6FUEHWH · pith_short_8: 4JXAP3VB

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/4JXAP3VBH6FUEHWHI2KY3WYVTO \
  | 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: e26e07eea13f8b421ec746958ddb159b9839cd05b4ad18964b0c5646d702e484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b455e47449d3778ab8455d408e01b309e0d019a44419cac3a5ee431adfef9c0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-21T00:52:13Z",
    "title_canon_sha256": "f2db2e1bd68a811b8eb02830679c44bd4b2b0e38dea218dc7b5d1b002bc5ac6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3973",
    "kind": "arxiv",
    "version": 2
  }
}