Pith Number

pith:Z2JIFAVG

pith:2009:Z2JIFAVGL5JZCLEJRW7CXVGPA4

not attested not anchored not stored refs pending

Arctic circles, domino tilings and square Young tableaux

Dan Romik

arxiv:0910.1636 v2 · 2009-10-09 · math.PR · 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{Z2JIFAVGL5JZCLEJRW7CXVGPA4}

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	2026-05-18T03:58:14.297111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce928282a65f53912c898dbe2bd4cf071488a38fd4b828bd460382a939602b14

Aliases

arxiv: 0910.1636 · arxiv_version: 0910.1636v2 · doi: 10.48550/arxiv.0910.1636 · pith_short_12: Z2JIFAVGL5JZ · pith_short_16: Z2JIFAVGL5JZCLEJ · pith_short_8: Z2JIFAVG

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/Z2JIFAVGL5JZCLEJRW7CXVGPA4 \
  | 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: ce928282a65f53912c898dbe2bd4cf071488a38fd4b828bd460382a939602b14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f7495ea2ed94d48b249bfaa882f899e2d3303c3a6071c2c93a8dd6331686b8a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-09T00:12:38Z",
    "title_canon_sha256": "6026653633901d6077aabc22f3fc3b36d67aa9390c213e38e0a559e1d4e20278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1636",
    "kind": "arxiv",
    "version": 2
  }
}