Pith Number

pith:ZHTY6ZF5

pith:2008:ZHTY6ZF5NRUFM5HDXG3RX55JTT

not attested not anchored not stored refs pending

Quenched and Annealed Critical Points in Polymer Pinning Models

Kenneth S. Alexander, Nikos Zygouras

arxiv:0805.1708 v1 · 2008-05-12 · 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{ZHTY6ZF5NRUFM5HDXG3RX55JTT}

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	2026-05-18T02:15:52.831766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9e78f64bd6c685674e3b9b71bf7a99cec7fc26e4d9525b581c72b5a910540ec

Aliases

arxiv: 0805.1708 · arxiv_version: 0805.1708v1 · doi: 10.48550/arxiv.0805.1708 · pith_short_12: ZHTY6ZF5NRUF · pith_short_16: ZHTY6ZF5NRUFM5HD · pith_short_8: ZHTY6ZF5

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/ZHTY6ZF5NRUFM5HDXG3RX55JTT \
  | 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: c9e78f64bd6c685674e3b9b71bf7a99cec7fc26e4d9525b581c72b5a910540ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af0664aa496283737d8f4664e05a5860f11ed1bb9695209069cff86c37ff2115",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-05-12T18:41:56Z",
    "title_canon_sha256": "a05660fcaaf35315cef8c89569d7d3d99600834e8f8030a90e80657c72f8f877"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1708",
    "kind": "arxiv",
    "version": 1
  }
}