Pith Number

pith:3KYY36V4

pith:2009:3KYY36V46TC2NOBKFL5VEA2O5N

not attested not anchored not stored refs pending

The weak coupling limit of disordered copolymer models

Francesco Caravenna, Giambattista Giacomin

arxiv:0907.5076 v2 · 2009-07-29 · 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{3KYY36V46TC2NOBKFL5VEA2O5N}

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	2026-05-18T04:36:40.490902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dab18dfabcf4c5a6b82a2afb52034eeb54c969545b659940b7752024685b94e6

Aliases

arxiv: 0907.5076 · arxiv_version: 0907.5076v2 · doi: 10.48550/arxiv.0907.5076 · pith_short_12: 3KYY36V46TC2 · pith_short_16: 3KYY36V46TC2NOBK · pith_short_8: 3KYY36V4

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/3KYY36V46TC2NOBKFL5VEA2O5N \
  | 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: dab18dfabcf4c5a6b82a2afb52034eeb54c969545b659940b7752024685b94e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d121681fe1c9598de1679a749cd33cad30b76ea9a89a95aa2a9a29efdf79c630",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-07-29T09:29:10Z",
    "title_canon_sha256": "dae9f2e6813f76413357d835cf98510496dd101e5e621bb974d192c44b9ac822"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5076",
    "kind": "arxiv",
    "version": 2
  }
}