Pith Number

pith:UVUM7ACQ

pith:2005:UVUM7ACQ7YSBRRYK7LLFA5C3A3

not attested not anchored not stored refs pending

Loop equations for the semiclassical 2-matrix model with hard edges

Bertrand Eynard (SPhT)

arxiv:math-ph/0504002 v1 · 2005-04-01 · math-ph · hep-th · 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{UVUM7ACQ7YSBRRYK7LLFA5C3A3}

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	2026-05-18T04:28:37.191149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a568cf8050fe2418c70afad650745b06d5fddba93b08d216070c8c635f982b44

Aliases

arxiv: math-ph/0504002 · arxiv_version: math-ph/0504002v1 · doi: 10.48550/arxiv.math-ph/0504002 · pith_short_12: UVUM7ACQ7YSB · pith_short_16: UVUM7ACQ7YSBRRYK · pith_short_8: UVUM7ACQ

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/UVUM7ACQ7YSBRRYK7LLFA5C3A3 \
  | 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: a568cf8050fe2418c70afad650745b06d5fddba93b08d216070c8c635f982b44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2a5a4fbbdfbba056309fad1a460fe903589ad1e59a5db777ddc08ca3d58dd70",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-04-01T12:07:37Z",
    "title_canon_sha256": "d98bd87037db7e6fa25a76b2cd531e80b1776e069bfe7d535f264d01e052bce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0504002",
    "kind": "arxiv",
    "version": 1
  }
}