Pith Number

pith:3WFDOSSQ

pith:2017:3WFDOSSQIB4O3G7RUALXEP5NDZ

not attested not anchored not stored refs pending

Crystals and trees: quasi-Kashiwara operators, monoids of binary trees, and Robinson--Schensted-type correspondences

Alan J. Cain, Ant\'onio Malheiro

arxiv:1702.02998 v2 · 2017-02-09 · 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{3WFDOSSQIB4O3G7RUALXEP5NDZ}

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	2026-05-18T00:24:39.792226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd8a374a504078ed9bf1a017723fad1e6536906827453ed56f1c8cb1cd9c1132

Aliases

arxiv: 1702.02998 · arxiv_version: 1702.02998v2 · doi: 10.48550/arxiv.1702.02998 · pith_short_12: 3WFDOSSQIB4O · pith_short_16: 3WFDOSSQIB4O3G7R · pith_short_8: 3WFDOSSQ

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/3WFDOSSQIB4O3G7RUALXEP5NDZ \
  | 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: dd8a374a504078ed9bf1a017723fad1e6536906827453ed56f1c8cb1cd9c1132

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "146c90b68201a3bca392439c4a2e3c2da9a44dbe04ca936d51d732a1ae0de5a9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-09T21:55:55Z",
    "title_canon_sha256": "79d75b1082d1afc7a13d9547c7af2b64f6d8f0fdaa1a7508cf096f7db37b1963"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02998",
    "kind": "arxiv",
    "version": 2
  }
}