Pith Number

pith:TO5EGJAE

pith:2011:TO5EGJAEQEW5NP5ZALC2EQO55W

not attested not anchored not stored refs pending

The collapse transition of randomly branched polymers -renormalized field theory

Hans-Karl Janssen, Olaf Stenull

arxiv:1102.3439 v2 · 2011-02-16 · cond-mat.stat-mech · cond-mat.soft · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TO5EGJAEQEW5NP5ZALC2EQO55W}

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	2026-05-18T02:03:10.195818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bba432404812dd6bfb902c5a241dded84dd0f05144ee1cc2c784b81e3519380

Aliases

arxiv: 1102.3439 · arxiv_version: 1102.3439v2 · doi: 10.48550/arxiv.1102.3439 · pith_short_12: TO5EGJAEQEW5 · pith_short_16: TO5EGJAEQEW5NP5Z · pith_short_8: TO5EGJAE

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/TO5EGJAEQEW5NP5ZALC2EQO55W \
  | 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: 9bba432404812dd6bfb902c5a241dded84dd0f05144ee1cc2c784b81e3519380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a1a62e9500e4aea1e1baf9ca07386be4dbc50722b752d54dd45b0c50ed9bad2",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-02-16T21:40:19Z",
    "title_canon_sha256": "dc63ded1867a5e68b0bb2341c3bd04a82c0fa024a23ea5f4b88ce2584794178e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3439",
    "kind": "arxiv",
    "version": 2
  }
}