Pith Number

pith:U5ZXZNNY

pith:2001:U5ZXZNNYJBEYAX6DLWFKNDU7LI

not attested not anchored not stored refs pending

Breakdown of Migdal--Eliashberg theory via catastrophic vertex divergence at low phonon frequency

J.P.Hague, N.d'Ambrumenil

arxiv:cond-mat/0106355 v2 · 2001-06-18 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5ZXZNNYJBEYAX6DLWFKNDU7LI}

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	2026-07-04T15:11:17.937526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7737cb5b84849805fc35d8aa68e9f5a04b217f83e4776656bb2cd5317feb339

Aliases

arxiv: cond-mat/0106355 · arxiv_version: cond-mat/0106355v2 · doi: 10.48550/arxiv.cond-mat/0106355 · pith_short_12: U5ZXZNNYJBEY · pith_short_16: U5ZXZNNYJBEYAX6D · pith_short_8: U5ZXZNNY

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/U5ZXZNNYJBEYAX6DLWFKNDU7LI \
  | 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: a7737cb5b84849805fc35d8aa68e9f5a04b217f83e4776656bb2cd5317feb339

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11598cefd11bba9817a3f97f37e8dbf95340d3f6e15266e346015af0d9ed2fc1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2001-06-18T17:08:34Z",
    "title_canon_sha256": "a4a8424eff40daa582947322cb52ab0d4f3ad794cea8e059e3e4f3fde7432925"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0106355",
    "kind": "arxiv",
    "version": 2
  }
}