Pith Number

pith:25UBMNIQ

pith:2015:25UBMNIQJBQ2PIG2DUITTED3OE

not attested not anchored not stored refs pending

Universality for the pinning model in the weak coupling regime

Fabio Lucio Toninelli, Francesco Caravenna, Niccolo Torri

arxiv:1505.04927 v1 · 2015-05-19 · 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{25UBMNIQJBQ2PIG2DUITTED3OE}

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	2026-05-18T00:36:15.459394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7681635104861a7a0da1d1139907b711a6d9a3048da69bf395290d1388af697

Aliases

arxiv: 1505.04927 · arxiv_version: 1505.04927v1 · doi: 10.48550/arxiv.1505.04927 · pith_short_12: 25UBMNIQJBQ2 · pith_short_16: 25UBMNIQJBQ2PIG2 · pith_short_8: 25UBMNIQ

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/25UBMNIQJBQ2PIG2DUITTED3OE \
  | 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: d7681635104861a7a0da1d1139907b711a6d9a3048da69bf395290d1388af697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97c087886b1dff4ff9dd41881778332d5c803f5e9bba21ed6b3b92c71ea68e41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-19T09:37:00Z",
    "title_canon_sha256": "8f238f4827643ca50fbb6f77fee4309d2084ec42d57c84d5cdf15f100ffe5a4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04927",
    "kind": "arxiv",
    "version": 1
  }
}