Pith Number

pith:QF2WDTA5

pith:2016:QF2WDTA5TARGM6RQFSXMGL2PHX

not attested not anchored not stored refs pending

The mother body phase transition in the normal matrix model

Guilherme Silva, Pavel Bleher

arxiv:1601.05124 v1 · 2016-01-19 · math-ph · math.CA · math.CV · 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{QF2WDTA5TARGM6RQFSXMGL2PHX}

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	2026-05-18T01:22:16.077073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

817561cc1d9822667a302caec32f4f3dc5a15156dca8fb58141de895149ed929

Aliases

arxiv: 1601.05124 · arxiv_version: 1601.05124v1 · doi: 10.48550/arxiv.1601.05124 · pith_short_12: QF2WDTA5TARG · pith_short_16: QF2WDTA5TARGM6RQ · pith_short_8: QF2WDTA5

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/QF2WDTA5TARGM6RQFSXMGL2PHX \
  | 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: 817561cc1d9822667a302caec32f4f3dc5a15156dca8fb58141de895149ed929

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcf2c674abd34c463678c06db447c1170eb966f803ec98783edb7b2121fafe82",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-01-19T22:39:32Z",
    "title_canon_sha256": "e985013b32780a794cf6405ac054b0e60af480fbb2c2b7d89b586720c55f0d83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05124",
    "kind": "arxiv",
    "version": 1
  }
}