Pith Number

pith:U6M4P6YU

pith:2015:U6M4P6YU3OIRO4IH65DFWXO7I5

not attested not anchored not stored refs pending

Noncrossing partitions and Bruhat order

Nathan Williams, Thomas Gobet

arxiv:1503.00595 v1 · 2015-03-02 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U6M4P6YU3OIRO4IH65DFWXO7I5}

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	2026-05-18T02:25:54.168145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a799c7fb14db91177107f7465b5ddf4773d38b3ddb127777cb7d098b7d09c885

Aliases

arxiv: 1503.00595 · arxiv_version: 1503.00595v1 · doi: 10.48550/arxiv.1503.00595 · pith_short_12: U6M4P6YU3OIR · pith_short_16: U6M4P6YU3OIRO4IH · pith_short_8: U6M4P6YU

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/U6M4P6YU3OIRO4IH65DFWXO7I5 \
  | 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: a799c7fb14db91177107f7465b5ddf4773d38b3ddb127777cb7d098b7d09c885

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cee27387e646521262ee2235e673c9b53ee67f1b05e0df34d6f5fe39873ab445",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-02T16:26:01Z",
    "title_canon_sha256": "75d9a43906b7af51b1563473b154640b486a66fe1fcdb5912ed9371251167e10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00595",
    "kind": "arxiv",
    "version": 1
  }
}