Pith Number

pith:GLNWIT3R

pith:2013:GLNWIT3R4A4OACYUPWBU5S5IXE

not attested not anchored not stored refs pending

New phase transition in random planar diagrams and RNA-type matching

Andrey Y. Lokhov, Mikhail V. Tamm, Olga V. Valba, Sergei K. Nechaev

arxiv:1307.2170 v2 · 2013-07-08 · cond-mat.stat-mech · q-bio.BM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GLNWIT3R4A4OACYUPWBU5S5IXE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:48:58.644749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32db644f71e038e00b147d834ecba8b907c110a5d1248fe8838729232e90d152

Aliases

arxiv: 1307.2170 · arxiv_version: 1307.2170v2 · doi: 10.48550/arxiv.1307.2170 · pith_short_12: GLNWIT3R4A4O · pith_short_16: GLNWIT3R4A4OACYU · pith_short_8: GLNWIT3R

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/GLNWIT3R4A4OACYUPWBU5S5IXE \
  | 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: 32db644f71e038e00b147d834ecba8b907c110a5d1248fe8838729232e90d152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f9524484a8203d423558eca5885087cf554dff52bb1a4866fda8cd5d11c5ff4",
    "cross_cats_sorted": [
      "q-bio.BM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-07-08T17:10:23Z",
    "title_canon_sha256": "2b1a5ac38e3590c543eb8cb2b2461cbf4d190d04b0a604a8f86005ffaec10b12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2170",
    "kind": "arxiv",
    "version": 2
  }
}