Pith Number

pith:D6ALFRII

pith:2009:D6ALFRIIW5GOTJ7MTKBOIEURMP

not attested not anchored not stored refs pending

Phase transitions and random quantum satisfiability

A. Scardicchio, C.R. Laumann, R. Moessner, S.L. Sondhi

arxiv:0903.1904 v1 · 2009-03-11 · quant-ph · cond-mat.dis-nn · cond-mat.stat-mech · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6ALFRIIW5GOTJ7MTKBOIEURMP}

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	2026-07-04T17:27:27.132075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f80b2c508b74ce9a7ec9a82e4129163de5d686dedb8b0751ed3ff112f029b6f

Aliases

arxiv: 0903.1904 · arxiv_version: 0903.1904v1 · doi: 10.48550/arxiv.0903.1904 · pith_short_12: D6ALFRIIW5GO · pith_short_16: D6ALFRIIW5GOTJ7M · pith_short_8: D6ALFRII

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/D6ALFRIIW5GOTJ7MTKBOIEURMP \
  | 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: 1f80b2c508b74ce9a7ec9a82e4129163de5d686dedb8b0751ed3ff112f029b6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99f34dd4605dbf8bb041f9ca587f94ffcb19ffe4c06fa1fcfb0c28e135d86cd6",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-03-11T04:16:16Z",
    "title_canon_sha256": "a9ed6b27de187b9735cdd9333a75dcb5747241d3fbdcb01b732dc26d7694b346"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1904",
    "kind": "arxiv",
    "version": 1
  }
}