Pith Number

pith:OX3OFPV4

pith:2015:OX3OFPV4H5XU3X4GU6NTKHSW63

not attested not anchored not stored refs pending

Coloring non-crossing strings

Arnaud Labourel, Daniel Gon\c{c}alves, Louis Esperet

arxiv:1511.03827 v2 · 2015-11-12 · math.CO · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OX3OFPV4H5XU3X4GU6NTKHSW63}

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	2026-05-18T00:57:44.249091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75f6e2bebc3f6f4ddf86a79b351e56f6e1e368dab95d7a8e3f96f11a2c567109

Aliases

arxiv: 1511.03827 · arxiv_version: 1511.03827v2 · doi: 10.48550/arxiv.1511.03827 · pith_short_12: OX3OFPV4H5XU · pith_short_16: OX3OFPV4H5XU3X4G · pith_short_8: OX3OFPV4

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/OX3OFPV4H5XU3X4GU6NTKHSW63 \
  | 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: 75f6e2bebc3f6f4ddf86a79b351e56f6e1e368dab95d7a8e3f96f11a2c567109

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "541f3a769a26529559ed09b6110826010967871e6b20c210a7930f0b2e2617df",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-12T09:25:00Z",
    "title_canon_sha256": "eb90bf25490936d54eed7b5b36a9596831df141ccef4b9f9c686f8dbe9b4f3ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03827",
    "kind": "arxiv",
    "version": 2
  }
}