Pith Number

pith:3RHO7WT4

pith:2009:3RHO7WT47CIMHFRE2OZPGXNDAU

not attested not anchored not stored refs pending

Asymptotic behavior of the finite-size magnetization as a function of the speed of approach to criticality

Jonathan Machta, Peter Tak-Hun Otto, Richard S. Ellis

arxiv:0908.1103 v2 · 2009-08-07 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RHO7WT47CIMHFRE2OZPGXNDAU}

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	2026-05-18T04:36:08.930792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc4eefda7cf890c39624d3b2f35da3052af0cf677deae8e034ae33313224569c

Aliases

arxiv: 0908.1103 · arxiv_version: 0908.1103v2 · doi: 10.48550/arxiv.0908.1103 · pith_short_12: 3RHO7WT47CIM · pith_short_16: 3RHO7WT47CIMHFRE · pith_short_8: 3RHO7WT4

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/3RHO7WT47CIMHFRE2OZPGXNDAU \
  | 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: dc4eefda7cf890c39624d3b2f35da3052af0cf677deae8e034ae33313224569c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dedd356c1df860119011426ec4f1167b0c80f69fc7c0d82e3be62f4468c748e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-08-07T19:15:15Z",
    "title_canon_sha256": "74f922713b46804a1eea6501c7024fa68f179009d909f1c8614c0bb37f2eddfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1103",
    "kind": "arxiv",
    "version": 2
  }
}