Pith Number

pith:VGOZROZB

pith:2013:VGOZROZBWITQUJ43Y76RDKWV7D

not attested not anchored not stored refs pending

The Critical Curve of the Random Pinning and Copolymer Models at Weak Coupling

Francesco Caravenna, Julien Poisat, Nikos Zygouras, Quentin Berger, Rongfeng Sun

arxiv:1301.5308 v2 · 2013-01-22 · 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{VGOZROZBWITQUJ43Y76RDKWV7D}

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	2026-05-18T01:52:04.549794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a99d98bb21b2270a279bc7fd11aad5f8d21bdaffeba04401952d7e2f028b4777

Aliases

arxiv: 1301.5308 · arxiv_version: 1301.5308v2 · doi: 10.48550/arxiv.1301.5308 · pith_short_12: VGOZROZBWITQ · pith_short_16: VGOZROZBWITQUJ43 · pith_short_8: VGOZROZB

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/VGOZROZBWITQUJ43Y76RDKWV7D \
  | 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: a99d98bb21b2270a279bc7fd11aad5f8d21bdaffeba04401952d7e2f028b4777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cea0f7afa53c5a22114dde7727392f6727b872244b6ea2acbab3a69db9f2a14",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-22T20:37:52Z",
    "title_canon_sha256": "f5f40d5a33dad3d29dddd54017f384cb3b59308fff16a11658f8311979f7a730"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5308",
    "kind": "arxiv",
    "version": 2
  }
}