Pith Number

pith:E6U6NOWF

pith:2016:E6U6NOWFO5EHUYI5QD4JR4QJBI

not attested not anchored not stored refs pending

Toric braids and $(m,n)$-parking functions

Anton Mellit

arxiv:1604.07456 v1 · 2016-04-25 · math.CO · math.QA · 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{E6U6NOWFO5EHUYI5QD4JR4QJBI}

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.

Cited by

1 paper in Pith

Torus link homology

Receipt and verification

First computed	2026-07-05T04:47:05.553184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27a9e6bac577487a611d80f898f2090a02279062360ccf32239db777f0485c0a

Aliases

arxiv: 1604.07456 · arxiv_version: 1604.07456v1 · doi: 10.48550/arxiv.1604.07456 · pith_short_12: E6U6NOWFO5EH · pith_short_16: E6U6NOWFO5EHUYI5 · pith_short_8: E6U6NOWF

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/E6U6NOWFO5EHUYI5QD4JR4QJBI \
  | 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: 27a9e6bac577487a611d80f898f2090a02279062360ccf32239db777f0485c0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62a2f3bd3887270848cfa011471e20747a018b53874a31af833cf3170fb0251d",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-25T21:55:57Z",
    "title_canon_sha256": "20f1381bb22bbef05f423ad175ab860d2bfca453e814ce65214a4069390d5f51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07456",
    "kind": "arxiv",
    "version": 1
  }
}