Pith Number

pith:XPQ7SYA7

pith:2010:XPQ7SYA7D7LSE2GRD3MTSFRE4I

not attested not anchored not stored refs pending

A Bichromatic Incidence Bound and an Application

Ben D. Lund, George B. Purdy, Justin W. Smith

arxiv:1006.3878 v6 · 2010-06-19 · math.CO · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPQ7SYA7D7LSE2GRD3MTSFRE4I}

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	2026-05-18T04:05:04.211015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbe1f9601f1fd72268d11ed9391624e221a7f1df47bcf6a755ddbfc004a2c497

Aliases

arxiv: 1006.3878 · arxiv_version: 1006.3878v6 · doi: 10.48550/arxiv.1006.3878 · pith_short_12: XPQ7SYA7D7LS · pith_short_16: XPQ7SYA7D7LSE2GR · pith_short_8: XPQ7SYA7

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/XPQ7SYA7D7LSE2GRD3MTSFRE4I \
  | 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: bbe1f9601f1fd72268d11ed9391624e221a7f1df47bcf6a755ddbfc004a2c497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5b61648970ca2b673247e5b6ce6b5ff944b2622af9f5a6b5cee0788fee6c5dc",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-06-19T16:20:24Z",
    "title_canon_sha256": "712a40bd7a0dca3a52678fba134db862e18bf14c484d1c30a921cff240d4ba57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3878",
    "kind": "arxiv",
    "version": 6
  }
}