Pith Number

pith:WKGTCGNT

pith:2012:WKGTCGNTKZ7EBX3SH4NPP4O4BK

not attested not anchored not stored refs pending

Fractional Maps and Fractional Attractors. Part I: $\alpha$-Families of Maps

Mark Edelman

arxiv:1209.5681 v1 · 2012-09-25 · nlin.CD · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKGTCGNTKZ7EBX3SH4NPP4O4BK}

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	2026-05-18T03:26:32.400190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b28d3119b3567e40df723f1af7f1dc0aabb3910b26d1fcd5b326d1a933f0f17f

Aliases

arxiv: 1209.5681 · arxiv_version: 1209.5681v1 · doi: 10.48550/arxiv.1209.5681 · pith_short_12: WKGTCGNTKZ7E · pith_short_16: WKGTCGNTKZ7EBX3S · pith_short_8: WKGTCGNT

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/WKGTCGNTKZ7EBX3SH4NPP4O4BK \
  | 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: b28d3119b3567e40df723f1af7f1dc0aabb3910b26d1fcd5b326d1a933f0f17f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e10c7d127f8aae4913a1bee6b5ed66d737c81ecc31b9df29f8814310464e7f3",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2012-09-25T16:49:46Z",
    "title_canon_sha256": "43465a811c8ddb9cb4c0f8d8a4785b99042682c27962b7c305581f5a234afebd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5681",
    "kind": "arxiv",
    "version": 1
  }
}