Pith Number

pith:YDNEGNXX

pith:2013:YDNEGNXXBNNYIEVX4HHSGLM4CL

not attested not anchored not stored refs pending

The purity of set-systems related to Grassmann necklaces

Alexander Karzanov, Gleb Koshevoy, Vladimir Danilov

arxiv:1312.3121 v1 · 2013-12-11 · 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{YDNEGNXXBNNYIEVX4HHSGLM4CL}

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	2026-05-18T03:05:00.416529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0da4336f70b5b8412b7e1cf232d9c12ec730a752477f9c2a3bb07e0c4107381

Aliases

arxiv: 1312.3121 · arxiv_version: 1312.3121v1 · doi: 10.48550/arxiv.1312.3121 · pith_short_12: YDNEGNXXBNNY · pith_short_16: YDNEGNXXBNNYIEVX · pith_short_8: YDNEGNXX

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/YDNEGNXXBNNYIEVX4HHSGLM4CL \
  | 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: c0da4336f70b5b8412b7e1cf232d9c12ec730a752477f9c2a3bb07e0c4107381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1790d6b0db29d255f9689e4eacffd1b62929a2ec277be825e8dec5d454311b6",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-11T11:27:42Z",
    "title_canon_sha256": "1ce2caeaf242c43bc87740955460174abd7a54d7518c58c4639a730bc011862f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3121",
    "kind": "arxiv",
    "version": 1
  }
}