Pith Number

pith:TK6APD6D

pith:2010:TK6APD6DSBM5A5PUNWULSQHVEP

not attested not anchored not stored refs pending

A vector equilibrium problem for the two-matrix model in the quartic/quadratic case

Arno B.J. Kuijlaars, Dries Geudens, Maurice Duits

arxiv:1007.3137 v1 · 2010-07-19 · math.CA · 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{TK6APD6DSBM5A5PUNWULSQHVEP}

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	2026-05-18T02:06:20.667059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9abc078fc39059d075f46da8b940f523dc9d4402609ec92d50e41b49cb96c34c

Aliases

arxiv: 1007.3137 · arxiv_version: 1007.3137v1 · doi: 10.48550/arxiv.1007.3137 · pith_short_12: TK6APD6DSBM5 · pith_short_16: TK6APD6DSBM5A5PU · pith_short_8: TK6APD6D

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/TK6APD6DSBM5A5PUNWULSQHVEP \
  | 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: 9abc078fc39059d075f46da8b940f523dc9d4402609ec92d50e41b49cb96c34c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "248d34a29d02c8c91c593d34005ae992450c7230af7c930811f7f642ccfa9483",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-07-19T13:00:56Z",
    "title_canon_sha256": "6c46b4e37437b76955efdd08b113547eb25a1e0fd7f286d9f1793dddc71365b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3137",
    "kind": "arxiv",
    "version": 1
  }
}