Pith Number

pith:LG4VBPLD

pith:2015:LG4VBPLDVLEZRM6RI4E222XPDN

not attested not anchored not stored refs pending

Similarity and Kirillov-Schilling-Shimozono bijection

Masato Okado

arxiv:1504.02568 v1 · 2015-04-10 · math.QA · 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{LG4VBPLDVLEZRM6RI4E222XPDN}

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	2026-05-18T02:19:07.352829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59b950bd63aac998b3d14709ad6aef1b5f90568140ff16584455861431757034

Aliases

arxiv: 1504.02568 · arxiv_version: 1504.02568v1 · doi: 10.48550/arxiv.1504.02568 · pith_short_12: LG4VBPLDVLEZ · pith_short_16: LG4VBPLDVLEZRM6R · pith_short_8: LG4VBPLD

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/LG4VBPLDVLEZRM6RI4E222XPDN \
  | 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: 59b950bd63aac998b3d14709ad6aef1b5f90568140ff16584455861431757034

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68aedfe5ea56552461568a8885595794dcde6669b0b5bfc49482eda108a5887b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-04-10T07:19:05Z",
    "title_canon_sha256": "c2357e17851adb869b35508c50be613c99d2f3eb90a33ea09caf9e13691ed2a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02568",
    "kind": "arxiv",
    "version": 1
  }
}