Pith Number

pith:UNRAXUMD

pith:2010:UNRAXUMDWIX3R5MXST3SQ24QAF

not attested not anchored not stored refs pending

Variational characterization of the critical curve for pinning of random polymers

Dimitris Cheliotis, Frank den Hollander

arxiv:1005.3661 v2 · 2010-05-20 · 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{UNRAXUMDWIX3R5MXST3SQ24QAF}

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	2026-05-18T03:20:59.107009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3620bd183b22fb8f59794f7286b90015b1f8cd5d9699d677c98d7457e096ff6

Aliases

arxiv: 1005.3661 · arxiv_version: 1005.3661v2 · doi: 10.48550/arxiv.1005.3661 · pith_short_12: UNRAXUMDWIX3 · pith_short_16: UNRAXUMDWIX3R5MX · pith_short_8: UNRAXUMD

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/UNRAXUMDWIX3R5MXST3SQ24QAF \
  | 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: a3620bd183b22fb8f59794f7286b90015b1f8cd5d9699d677c98d7457e096ff6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78240049f07839a39ce32140830c6e772a16bd1d387070139bbaf3f5a3b3fccc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-05-20T11:23:35Z",
    "title_canon_sha256": "4785b93573c9211f0609e617d305119cd0a6527acd22ebfc14cb461f208640c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3661",
    "kind": "arxiv",
    "version": 2
  }
}