Pith Number

pith:YSGJFNOB

pith:2015:YSGJFNOBJTQ6G2ARYG2Y7ONCLS

not attested not anchored not stored refs pending

A simple explicit bijection between (n,2) Gog and Magog trapezoids

J\'er\'emie Bettinelli

arxiv:1512.03305 v2 · 2015-12-10 · 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{YSGJFNOBJTQ6G2ARYG2Y7ONCLS}

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	2026-05-18T01:17:24.900246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c48c92b5c14ce1e36811c1b58fb9a25cabfe276526e07fd9cfacbf70b28a6a4c

Aliases

arxiv: 1512.03305 · arxiv_version: 1512.03305v2 · doi: 10.48550/arxiv.1512.03305 · pith_short_12: YSGJFNOBJTQ6 · pith_short_16: YSGJFNOBJTQ6G2AR · pith_short_8: YSGJFNOB

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/YSGJFNOBJTQ6G2ARYG2Y7ONCLS \
  | 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: c48c92b5c14ce1e36811c1b58fb9a25cabfe276526e07fd9cfacbf70b28a6a4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5a6c080774d2a9ea1b60a0d05c463debd83cb1aeb7e13805bc43e5a0ca729a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-10T16:14:38Z",
    "title_canon_sha256": "82b82910174bdf7aa4f9c5ab7a05fe3f833394b287ef78bb735c3c50af96eaf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03305",
    "kind": "arxiv",
    "version": 2
  }
}