Pith Number

pith:QE4OSOPT

pith:2021:QE4OSOPTIK5LJZTBR7U7I55YDC

not attested not anchored not stored refs pending

Multiple phases and meromorphic deformations of unitary matrix models

Leonardo Santilli, Miguel Tierz

arxiv:2102.11305 v2 · 2021-02-22 · 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{QE4OSOPTIK5LJZTBR7U7I55YDC}

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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.

Cited by

1 paper in Pith

Phases and triple(multiple) point: critical phenomena around the AD singularity

Receipt and verification

First computed	2026-07-05T04:07:37.463386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8138e939f342bab4e6618fe9f477b8188051fd43426bc597e2d9268bc531e6bc

Aliases

arxiv: 2102.11305 · arxiv_version: 2102.11305v2 · doi: 10.48550/arxiv.2102.11305 · pith_short_12: QE4OSOPTIK5L · pith_short_16: QE4OSOPTIK5LJZTB · pith_short_8: QE4OSOPT

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/QE4OSOPTIK5LJZTBR7U7I55YDC \
  | 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: 8138e939f342bab4e6618fe9f477b8188051fd43426bc597e2d9268bc531e6bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d9a4981124c1b42e1618332da070e4f915bba16c4d127e5eedf0d5e8d49f3d6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-02-22T19:01:23Z",
    "title_canon_sha256": "b67ce0d680550f5c9b57318d2f17badf3d7b0045545a05afa1c030c68e7ed51a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.11305",
    "kind": "arxiv",
    "version": 2
  }
}