Pith Number

pith:T26WR3OX

pith:2012:T26WR3OX3H4MD42ATREEZW2A5B

not attested not anchored not stored refs pending

On the Complexity of Hilbert Refutations for Partition

Dmitrii Pasechnik, Shmuel Onn, Susan Margulies

arxiv:1208.3346 v2 · 2012-08-16 · math.AG · 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{T26WR3OX3H4MD42ATREEZW2A5B}

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	2026-05-18T02:37:59.034557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ebd68edd7d9f8c1f3409c484cdb40e869d5ff84c6fc0ee4c0ed19045e83094c

Aliases

arxiv: 1208.3346 · arxiv_version: 1208.3346v2 · doi: 10.48550/arxiv.1208.3346 · pith_short_12: T26WR3OX3H4M · pith_short_16: T26WR3OX3H4MD42A · pith_short_8: T26WR3OX

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/T26WR3OX3H4MD42ATREEZW2A5B \
  | 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: 9ebd68edd7d9f8c1f3409c484cdb40e869d5ff84c6fc0ee4c0ed19045e83094c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62621b8c005a600674bd694836e41fd31de1e82873218a66cabdfafab0258290",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-16T11:52:54Z",
    "title_canon_sha256": "fa7ea0c8ffe01cb8546830dcebbc78e0c20a4f59ea74ef48c233c87361bfb84f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3346",
    "kind": "arxiv",
    "version": 2
  }
}