Pith Number

pith:FHRSKWMZ

pith:2007:FHRSKWMZ4VYM6PAKGCRYST3BAI

not attested not anchored not stored refs pending

Area limit laws for symmetry classes of staircase polygons

Bhalchandra Thatte, Christoph Richard, Uwe Schwerdtfeger

arxiv:0710.4041 v1 · 2007-10-22 · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FHRSKWMZ4VYM6PAKGCRYST3BAI}

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	2026-05-18T02:30:55.325358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29e3255999e570cf3c0a30a3894f6102188ae2b54f5f53f3b2cee7aad13905df

Aliases

arxiv: 0710.4041 · arxiv_version: 0710.4041v1 · doi: 10.48550/arxiv.0710.4041 · pith_short_12: FHRSKWMZ4VYM · pith_short_16: FHRSKWMZ4VYM6PAK · pith_short_8: FHRSKWMZ

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/FHRSKWMZ4VYM6PAKGCRYST3BAI \
  | 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: 29e3255999e570cf3c0a30a3894f6102188ae2b54f5f53f3b2cee7aad13905df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05c53ace7cafb1624d6ff6493ad90bb772fdc8557b7f470168b6035cca0aff64",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-10-22T12:45:49Z",
    "title_canon_sha256": "4b427cafd7ed13f916535f56bf5eb22367a1e37a0e1bab0d2ecca42a4b2bea6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.4041",
    "kind": "arxiv",
    "version": 1
  }
}