Pith Number

pith:FZYDAZOO

pith:2012:FZYDAZOOJYDUOWJHUIJPCHHTOK

not attested not anchored not stored refs pending

The Horn problem and planar networks

Andras Szenes, Anton Alekseev, Masha Podkopaeva

arxiv:1207.0640 v1 · 2012-07-03 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZYDAZOOJYDUOWJHUIJPCHHTOK}

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	2026-05-18T03:51:57.577485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e703065ce4e07475927a212f11cf372bec363774726339b42b196a90cd5b32c

Aliases

arxiv: 1207.0640 · arxiv_version: 1207.0640v1 · doi: 10.48550/arxiv.1207.0640 · pith_short_12: FZYDAZOOJYDU · pith_short_16: FZYDAZOOJYDUOWJH · pith_short_8: FZYDAZOO

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/FZYDAZOOJYDUOWJHUIJPCHHTOK \
  | 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: 2e703065ce4e07475927a212f11cf372bec363774726339b42b196a90cd5b32c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d146cf2966348169c9957b7f341d6cef181f417995b07a07133abbab867b078d",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-03T11:42:25Z",
    "title_canon_sha256": "ca071268e7c801f6e99965b43892bc6cd5f035330cf7b94db18ca0dc80919a8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0640",
    "kind": "arxiv",
    "version": 1
  }
}