Pith Number

pith:FDKP6RJ5

pith:2017:FDKP6RJ54AWF4P5ZLDYQDJF63Z

not attested not anchored not stored refs pending

Crystals and Schur $P$-positive expansions

Jae-Hoon Kwon, Seung-Il Choi

arxiv:1707.02513 v1 · 2017-07-09 · math.RT · 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{FDKP6RJ54AWF4P5ZLDYQDJF63Z}

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	2026-05-18T00:40:36.635076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28d4ff453de02c5e3fb958f101a4bede4be59ba1b9470a92dde6a44fe10b1a8a

Aliases

arxiv: 1707.02513 · arxiv_version: 1707.02513v1 · doi: 10.48550/arxiv.1707.02513 · pith_short_12: FDKP6RJ54AWF · pith_short_16: FDKP6RJ54AWF4P5Z · pith_short_8: FDKP6RJ5

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/FDKP6RJ54AWF4P5ZLDYQDJF63Z \
  | 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: 28d4ff453de02c5e3fb958f101a4bede4be59ba1b9470a92dde6a44fe10b1a8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ff3fae6ee50ad2c7cdf3d3ea2da63dfb20682bb51200b31fa39c40c04440192",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-07-09T01:54:09Z",
    "title_canon_sha256": "bdf7ffb8e4b4b482e8dabed343f1cfedcec2c825ff52eb63ee8d4c0747f22a0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02513",
    "kind": "arxiv",
    "version": 1
  }
}