Pith Number

pith:UTFNEQXJ

pith:2011:UTFNEQXJDDQBQ3LY25RPB2FA3B

not attested not anchored not stored refs pending

Cuts in Cartesian Products of Graphs

Madhur Tulsiani, Sushant Sachdeva

arxiv:1105.3383 v2 · 2011-05-17 · cs.DM · 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{UTFNEQXJDDQBQ3LY25RPB2FA3B}

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	2026-05-18T03:12:33.540934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4cad242e918e0186d78d762f0e8a0d86817255a50873dbb0448c4103292444e

Aliases

arxiv: 1105.3383 · arxiv_version: 1105.3383v2 · doi: 10.48550/arxiv.1105.3383 · pith_short_12: UTFNEQXJDDQB · pith_short_16: UTFNEQXJDDQBQ3LY · pith_short_8: UTFNEQXJ

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/UTFNEQXJDDQBQ3LY25RPB2FA3B \
  | 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: a4cad242e918e0186d78d762f0e8a0d86817255a50873dbb0448c4103292444e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdf2586da8771fe76f9343fe8527b98ee5c3ae97858b24b315f871eb1141041e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2011-05-17T14:08:30Z",
    "title_canon_sha256": "47ea1df32daf7d2e8cbeb35452ae2c348ef23a430b446556df59ec30da322167"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3383",
    "kind": "arxiv",
    "version": 2
  }
}