Pith Number

pith:3LL2HIC4

pith:2017:3LL2HIC4OMS7IJSCAGW42VGZJ3

not attested not anchored not stored refs pending

Phase space and phase transitions in the Penner matrix model with negative coupling constant

Elena Medina, Gabriel \'Alvarez, Luis Mart\'inez Alonso

arxiv:1702.07230 v1 · 2017-02-23 · 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{3LL2HIC4OMS7IJSCAGW42VGZJ3}

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	2026-05-18T00:50:07.801876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dad7a3a05c7325f4264201adcd54d94edddca44da7587333affe1d88d1a6840f

Aliases

arxiv: 1702.07230 · arxiv_version: 1702.07230v1 · doi: 10.48550/arxiv.1702.07230 · pith_short_12: 3LL2HIC4OMS7 · pith_short_16: 3LL2HIC4OMS7IJSC · pith_short_8: 3LL2HIC4

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/3LL2HIC4OMS7IJSCAGW42VGZJ3 \
  | 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: dad7a3a05c7325f4264201adcd54d94edddca44da7587333affe1d88d1a6840f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fddfecc721a1522705bf1b405aa209c30626c497f2fa62e1baebfd96ca4db0d3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-02-23T14:39:48Z",
    "title_canon_sha256": "6d601ccc87324415b917bf202a363ec34cb12e5d9d722ae9692df40da58239b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07230",
    "kind": "arxiv",
    "version": 1
  }
}