Pith Number

pith:S7AMUBJP

pith:2017:S7AMUBJPXJ2DAY4PKDH5YHDGHV

not attested not anchored not stored refs pending

On cyclic descents for tableaux

Ron M. Adin, Victor Reiner, Yuval Roichman

arxiv:1710.06664 v2 · 2017-10-18 · 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{S7AMUBJPXJ2DAY4PKDH5YHDGHV}

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	2026-05-18T00:29:45.427894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97c0ca052fba7430638f50cfdc1c663d5984679a73d09b8632cb747d6b37ea3e

Aliases

arxiv: 1710.06664 · arxiv_version: 1710.06664v2 · doi: 10.48550/arxiv.1710.06664 · pith_short_12: S7AMUBJPXJ2D · pith_short_16: S7AMUBJPXJ2DAY4P · pith_short_8: S7AMUBJP

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/S7AMUBJPXJ2DAY4PKDH5YHDGHV \
  | 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: 97c0ca052fba7430638f50cfdc1c663d5984679a73d09b8632cb747d6b37ea3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78aeab2be7de44c027c5b45c751063eb0047ccc67d1343c7d04986b7bce631dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-18T10:27:38Z",
    "title_canon_sha256": "83512467024600aebf0e4838b26405ff49bd9d01136807554a780e93d7c524c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06664",
    "kind": "arxiv",
    "version": 2
  }
}