Pith Number

pith:EW4YPIIZ

pith:2010:EW4YPIIZD6EU2UM5EMLSGL25LT

not attested not anchored not stored refs pending

On cross-intersecting families of independent sets in graphs

Vikram Kamat

arxiv:1010.0947 v1 · 2010-10-05 · 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{EW4YPIIZD6EU2UM5EMLSGL25LT}

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	2026-05-18T04:39:50.620596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25b987a1191f894d519d2317232f5d5cf6742e4b7b613fda2b3dc829f63b9764

Aliases

arxiv: 1010.0947 · arxiv_version: 1010.0947v1 · doi: 10.48550/arxiv.1010.0947 · pith_short_12: EW4YPIIZD6EU · pith_short_16: EW4YPIIZD6EU2UM5 · pith_short_8: EW4YPIIZ

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/EW4YPIIZD6EU2UM5EMLSGL25LT \
  | 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: 25b987a1191f894d519d2317232f5d5cf6742e4b7b613fda2b3dc829f63b9764

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96a3d0c77154a0c55b983ffd344ca95fb5bfe6894607b4d81586171cfd77dd60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-05T17:16:19Z",
    "title_canon_sha256": "74713343ac1c7c6034d58fd1a6de2ec78da1473f7672d7c728f28eb70a4f3df5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0947",
    "kind": "arxiv",
    "version": 1
  }
}