Pith Number

pith:NVTXUY2T

pith:2010:NVTXUY2TVC4LO3D4FZSOIZMSWZ

not attested not anchored not stored refs pending

On rates of convergence in the Curie-Weiss-Potts model with external field

Bastian Martschink, Peter Eichelsbacher

arxiv:1011.0319 v3 · 2010-11-01 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NVTXUY2TVC4LO3D4FZSOIZMSWZ}

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	2026-05-18T03:36:56.859939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d677a6353a8b8b76c7c2e64e46592b640eff635e445a94b08cc293cfcc8952d

Aliases

arxiv: 1011.0319 · arxiv_version: 1011.0319v3 · doi: 10.48550/arxiv.1011.0319 · pith_short_12: NVTXUY2TVC4L · pith_short_16: NVTXUY2TVC4LO3D4 · pith_short_8: NVTXUY2T

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/NVTXUY2TVC4LO3D4FZSOIZMSWZ \
  | 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: 6d677a6353a8b8b76c7c2e64e46592b640eff635e445a94b08cc293cfcc8952d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "562e670b7558dfc33c65792b45aa27efd112f4e9af6b628d4c7871ccce05d70d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-01T13:32:33Z",
    "title_canon_sha256": "0b8bbaee7e074419910349fb3263d33918a296b96dc71b9e7ae7b4d1be92ad91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0319",
    "kind": "arxiv",
    "version": 3
  }
}