Pith Number

pith:ATJPEAIB

pith:2017:ATJPEAIBYWTF7T5BSPNFN5QQM6

not attested not anchored not stored refs pending

Shifted tableaux crystals

Jake Levinson, Kevin Purbhoo, Maria Gillespie

arxiv:1711.06919 v1 · 2017-11-18 · 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{ATJPEAIBYWTF7T5BSPNFN5QQM6}

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	2026-05-18T00:30:15.198032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04d2f20101c5a65fcfa193da56f61067861fa531587c00e1981a36194f6fb6b5

Aliases

arxiv: 1711.06919 · arxiv_version: 1711.06919v1 · doi: 10.48550/arxiv.1711.06919 · pith_short_12: ATJPEAIBYWTF · pith_short_16: ATJPEAIBYWTF7T5B · pith_short_8: ATJPEAIB

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/ATJPEAIBYWTF7T5BSPNFN5QQM6 \
  | 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: 04d2f20101c5a65fcfa193da56f61067861fa531587c00e1981a36194f6fb6b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1b96a29d9041859e08300e23aae84673735676e6b3b35f56ff871676a4c7be3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-18T19:11:38Z",
    "title_canon_sha256": "bc9c684a66c9bf221dc0744797de279f95374fe3e87a2dc8767fc712f7a85b5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06919",
    "kind": "arxiv",
    "version": 1
  }
}