Pith Number

pith:7TQZ442M

pith:2014:7TQZ442MHFAUFP6P7B6EEN4ZHF

not attested not anchored not stored refs pending

Equilibrium problems for Raney densities

Dang-Zheng Liu, Paul Zinn-Justin, Peter J. Forrester

arxiv:1411.4091 v1 · 2014-11-15 · 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{7TQZ442MHFAUFP6P7B6EEN4ZHF}

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	2026-05-18T01:49:55.901726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fce19e734c394142bfcff87c423799395731e0e483d94058b679c72179c0e7ef

Aliases

arxiv: 1411.4091 · arxiv_version: 1411.4091v1 · doi: 10.48550/arxiv.1411.4091 · pith_short_12: 7TQZ442MHFAU · pith_short_16: 7TQZ442MHFAUFP6P · pith_short_8: 7TQZ442M

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/7TQZ442MHFAUFP6P7B6EEN4ZHF \
  | 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: fce19e734c394142bfcff87c423799395731e0e483d94058b679c72179c0e7ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "282a487c4aaf4f33c673eb773ce8c9f954558ff803fc1ea5a8fb73e66ea4b312",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-11-15T00:54:21Z",
    "title_canon_sha256": "207c5d18128b6058d3730c9c6ecc44d4f71cc87dd63d2025831536d93f84dc8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4091",
    "kind": "arxiv",
    "version": 1
  }
}