Pith Number

pith:XHD3RI3S

pith:2012:XHD3RI3SCQWMT3TVQUX5MFQSRN

not attested not anchored not stored refs pending

Exact scaling in the expansion-modification system

Edgardo Ugalde, Ra\'ul Salgado-Garc\'ia

arxiv:1202.2549 v2 · 2012-02-12 · math.PR · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XHD3RI3SCQWMT3TVQUX5MFQSRN}

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	2026-05-18T01:58:30.897188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9c7b8a372142cc9ee75852fd616128b77944fb12c17864aba2c134ba2585997

Aliases

arxiv: 1202.2549 · arxiv_version: 1202.2549v2 · doi: 10.48550/arxiv.1202.2549 · pith_short_12: XHD3RI3SCQWM · pith_short_16: XHD3RI3SCQWMT3TV · pith_short_8: XHD3RI3S

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/XHD3RI3SCQWMT3TVQUX5MFQSRN \
  | 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: b9c7b8a372142cc9ee75852fd616128b77944fb12c17864aba2c134ba2585997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14d6d2e9bfb4ca2e1c23b940300392ac5783b015314eb35a13795ee3fb1b89a3",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-12T17:19:13Z",
    "title_canon_sha256": "9bf69fe525d838584360bc3874d6ef555de2e672ae117fef4ed437e71b1d0e26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2549",
    "kind": "arxiv",
    "version": 2
  }
}