Pith Number

pith:BLCLGRHO

pith:2001:BLCLGRHO7WSW3OP3HBVPANIF77

not attested not anchored not stored refs pending

"Single Ring Theorem" and the Disk-Annulus Phase Transition

A. Zee, Joshua Feinberg, R. Scalettar

arxiv:cond-mat/0104072 v1 · 2001-04-04 · cond-mat.dis-nn · cond-mat.stat-mech · hep-th · 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{BLCLGRHO7WSW3OP3HBVPANIF77}

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	2026-05-18T01:40:07.443755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ac4b344eefda56db9fb386af03505ffc0aa024ab7b9985e32768e2dbe5a5c10

Aliases

arxiv: cond-mat/0104072 · arxiv_version: cond-mat/0104072v1 · doi: 10.48550/arxiv.cond-mat/0104072 · pith_short_12: BLCLGRHO7WSW · pith_short_16: BLCLGRHO7WSW3OP3 · pith_short_8: BLCLGRHO

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/BLCLGRHO7WSW3OP3HBVPANIF77 \
  | 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: 0ac4b344eefda56db9fb386af03505ffc0aa024ab7b9985e32768e2dbe5a5c10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "948dbafb206bf74a7a52398fb7b85795c10d1268f40e0d5a7763ff8de37bcd00",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2001-04-04T20:48:11Z",
    "title_canon_sha256": "26b0ba9ed8a2a3897ff8498887021c3da07ad4405b57b4d1d65ae41241fdaca0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0104072",
    "kind": "arxiv",
    "version": 1
  }
}