Pith Number

pith:QSJKS3ZP

pith:2013:QSJKS3ZPJDDT2DZE2X5DSFJH4Q

not attested not anchored not stored refs pending

(q,t)-hook formula for Birds and Banners

Masao Ishikawa

arxiv:1302.1968 v1 · 2013-02-08 · 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{QSJKS3ZPJDDT2DZE2X5DSFJH4Q}

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	2026-05-18T03:34:13.074253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8492a96f2f48c73d0f24d5fa391527e41b83b418115fdbe8121b5900cccfdef9

Aliases

arxiv: 1302.1968 · arxiv_version: 1302.1968v1 · doi: 10.48550/arxiv.1302.1968 · pith_short_12: QSJKS3ZPJDDT · pith_short_16: QSJKS3ZPJDDT2DZE · pith_short_8: QSJKS3ZP

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/QSJKS3ZPJDDT2DZE2X5DSFJH4Q \
  | 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: 8492a96f2f48c73d0f24d5fa391527e41b83b418115fdbe8121b5900cccfdef9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65c646381ab31e3f6b208fdd14ca8ec9bc1660d092f518f54c7f4e954cc67073",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-08T08:46:33Z",
    "title_canon_sha256": "e2cd2514077f8bcc8c25db262487fc7c349deb312162a0532c4d700c50568b0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1968",
    "kind": "arxiv",
    "version": 1
  }
}