Pith Number

pith:VGQW2P56

pith:2017:VGQW2P56CJCMWVNWFGB5FNKNH6

not attested not anchored not stored refs pending

Crystal analysis of type $C$ Stanley symmetric functions

Anne Schilling, Graham Hawkes, Kirill Paramonov

arxiv:1704.00889 v2 · 2017-04-04 · 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{VGQW2P56CJCMWVNWFGB5FNKNH6}

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	2026-05-18T00:20:44.706657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9a16d3fbe1244cb55b62983d2b54d3f91352f2a78b8fce390b9f67007996c40

Aliases

arxiv: 1704.00889 · arxiv_version: 1704.00889v2 · doi: 10.48550/arxiv.1704.00889 · pith_short_12: VGQW2P56CJCM · pith_short_16: VGQW2P56CJCMWVNW · pith_short_8: VGQW2P56

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/VGQW2P56CJCMWVNWFGB5FNKNH6 \
  | 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: a9a16d3fbe1244cb55b62983d2b54d3f91352f2a78b8fce390b9f67007996c40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52d444b5f8e7d438d7e4f326cd6a7aa86efeea8f418c26c74d238921a040cbab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-04T06:33:13Z",
    "title_canon_sha256": "c0a7d1bfcfad2c5ca641668b58e9756404103969d72739ad69d0d7eeedee01fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00889",
    "kind": "arxiv",
    "version": 2
  }
}