Pith Number

pith:R7X4SSQE

pith:2010:R7X4SSQE6UVWYE3DCMGXXXEIMW

not attested not anchored not stored refs pending

Proof of the monotone column permanent conjecture

David G. Wagner, James Haglund, Mirk\'o Visontai, Petter Br\"and\'en

arxiv:1010.2565 v2 · 2010-10-13 · 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{R7X4SSQE6UVWYE3DCMGXXXEIMW}

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	2026-05-18T03:27:33.217730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fefc94a04f52b6c1363130d7bdc8865a2dbaf78eb6e14bd447a409008775689

Aliases

arxiv: 1010.2565 · arxiv_version: 1010.2565v2 · doi: 10.48550/arxiv.1010.2565 · pith_short_12: R7X4SSQE6UVW · pith_short_16: R7X4SSQE6UVWYE3D · pith_short_8: R7X4SSQE

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/R7X4SSQE6UVWYE3DCMGXXXEIMW \
  | 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: 8fefc94a04f52b6c1363130d7bdc8865a2dbaf78eb6e14bd447a409008775689

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffcc383eac3038d35e7b7d2578b1095f357cc0882423ee6c7c5ab5588e9d1d84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-13T03:38:33Z",
    "title_canon_sha256": "9246a4333aa3cce5faf084cabf6cbb8f3e5be5c012bc76c2d3b8b4b2973a99bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2565",
    "kind": "arxiv",
    "version": 2
  }
}