Pith Number

pith:PEI7I5N4

pith:2012:PEI7I5N4PCVI2JSIZXB3EVSU4O

not attested not anchored not stored refs pending

Incidence Theorems and Their Applications

Zeev Dvir

arxiv:1208.5073 v2 · 2012-08-24 · math.CO · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PEI7I5N4PCVI2JSIZXB3EVSU4O}

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	2026-05-18T02:21:00.274768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7911f475bc78aa8d2648cdc3b25654e3b08f054ab4217664d1260ce8e73b165d

Aliases

arxiv: 1208.5073 · arxiv_version: 1208.5073v2 · doi: 10.48550/arxiv.1208.5073 · pith_short_12: PEI7I5N4PCVI · pith_short_16: PEI7I5N4PCVI2JSI · pith_short_8: PEI7I5N4

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/PEI7I5N4PCVI2JSIZXB3EVSU4O \
  | 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: 7911f475bc78aa8d2648cdc3b25654e3b08f054ab4217664d1260ce8e73b165d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3937ca3e3b82ac9d8b59d6d366b702442ffc2824291d7695b13a7e72b1ac2232",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-24T22:09:45Z",
    "title_canon_sha256": "6797722fd66b5874faf42da10f06c4bf1951a76a3cedc0bc6b86414bb4efb78c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5073",
    "kind": "arxiv",
    "version": 2
  }
}