Pith Number

pith:5PL5BJZ7

pith:2019:5PL5BJZ73UVWXMBW5ND4C265WE

not attested not anchored not stored refs pending

Interval matrices with Monge property

Martin \v{C}ern\'y

arxiv:1912.11656 v1 · 2019-12-25 · 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{5PL5BJZ73UVWXMBW5ND4C265WE}

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	2026-07-05T00:28:28.308045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebd7d0a73fdd2b6bb036eb47c16bddb136dbd166a7f1a821e80fd58b5ca246da

Aliases

arxiv: 1912.11656 · arxiv_version: 1912.11656v1 · doi: 10.48550/arxiv.1912.11656 · pith_short_12: 5PL5BJZ73UVW · pith_short_16: 5PL5BJZ73UVWXMBW · pith_short_8: 5PL5BJZ7

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/5PL5BJZ73UVWXMBW5ND4C265WE \
  | 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: ebd7d0a73fdd2b6bb036eb47c16bddb136dbd166a7f1a821e80fd58b5ca246da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acb5a30150cf439e9c7fba629b9a2c1a3e5ffb1e8295edaf9a12aa9095af79f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-12-25T12:43:19Z",
    "title_canon_sha256": "d282ab403f6562be30962c1d8b6cd4e711b59aab77503ad9153fc90cee4410bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.11656",
    "kind": "arxiv",
    "version": 1
  }
}