Pith Number

pith:7HE7V6A6

pith:2010:7HE7V6A6MPOY6O4XGWLFP2YZXE

not attested not anchored not stored refs pending

Overlap Number of Graphs

Christopher Stocker, Daniel W. Cranston, Douglas B. West, Jennifer Vandenbussche, Kevin Milans, Nitish Korula, Timothy D. LeSaulnier

arxiv:1007.0804 v1 · 2010-07-06 · 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{7HE7V6A6MPOY6O4XGWLFP2YZXE}

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	2026-05-18T03:41:02.631949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9c9faf81e63dd8f3b97359657eb19b915d2f8dcbcff4a442c8f50f2d1c41a82

Aliases

arxiv: 1007.0804 · arxiv_version: 1007.0804v1 · doi: 10.48550/arxiv.1007.0804 · pith_short_12: 7HE7V6A6MPOY · pith_short_16: 7HE7V6A6MPOY6O4X · pith_short_8: 7HE7V6A6

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/7HE7V6A6MPOY6O4XGWLFP2YZXE \
  | 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: f9c9faf81e63dd8f3b97359657eb19b915d2f8dcbcff4a442c8f50f2d1c41a82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44cb07b774450c357372dcc37bad56794a8ef2355ca9abebc80236a861fce94e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-07-06T04:04:01Z",
    "title_canon_sha256": "fe0a3859bfdfe7168678043ab8644dcbadab9bac40776c777b5606676b253a8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0804",
    "kind": "arxiv",
    "version": 1
  }
}