Pith Number

pith:2WX276NC

pith:2011:2WX276NC52WCVYNHQFUUHG5PN7

not attested not anchored not stored refs pending

Local-to-global principles for rotor walk

Giuliano Pezzolo Giacaglia, James Propp, Linda Zayas-Palmer, Lionel Levine

arxiv:1107.4442 v2 · 2011-07-22 · 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{2WX276NC52WCVYNHQFUUHG5PN7}

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	2026-05-18T03:29:14.090746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5afaff9a2eeac2ae1a78169439baf6feb64004d5a276bcee1b50a5caf2f894d

Aliases

arxiv: 1107.4442 · arxiv_version: 1107.4442v2 · doi: 10.48550/arxiv.1107.4442 · pith_short_12: 2WX276NC52WC · pith_short_16: 2WX276NC52WCVYNH · pith_short_8: 2WX276NC

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/2WX276NC52WCVYNHQFUUHG5PN7 \
  | 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: d5afaff9a2eeac2ae1a78169439baf6feb64004d5a276bcee1b50a5caf2f894d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e782dd73575e9df96cdfd7ab9347b740bdf4db720d54eeb072a99215c0eb8f43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-22T07:48:38Z",
    "title_canon_sha256": "e63510d0083c7917da39a11a2ea6ff0b50a4497bafcde476fbe725c3aa1728fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4442",
    "kind": "arxiv",
    "version": 2
  }
}