Pith Number

pith:IJCFKXRV

pith:2012:IJCFKXRVV3IQ4D7UJPSVSHLWPN

not attested not anchored not stored refs pending

Generalizing the rotation interval to vertex maps on graphs

Chris Bernhardt, P. Christopher Staecker

arxiv:1209.4996 v1 · 2012-09-22 · math.DS · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IJCFKXRVV3IQ4D7UJPSVSHLWPN}

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	2026-05-18T01:32:35.191382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4244555e35aed10e0ff44be5591d767b4cd2aef02c09920ee5dc9e82d31663e8

Aliases

arxiv: 1209.4996 · arxiv_version: 1209.4996v1 · doi: 10.48550/arxiv.1209.4996 · pith_short_12: IJCFKXRVV3IQ · pith_short_16: IJCFKXRVV3IQ4D7U · pith_short_8: IJCFKXRV

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/IJCFKXRVV3IQ4D7UJPSVSHLWPN \
  | 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: 4244555e35aed10e0ff44be5591d767b4cd2aef02c09920ee5dc9e82d31663e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "975ff148c06522c71f52b3616e219d88082f67742699fc104c0d3671319c1f0e",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-09-22T14:55:38Z",
    "title_canon_sha256": "56e91f5c5b4ad789b117be34ae2828f8769e41f4d15e8ad83d427101dcc626df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4996",
    "kind": "arxiv",
    "version": 1
  }
}