Pith Number

pith:6TXG6WWJ

pith:2016:6TXG6WWJD5CI44KJWBWMDGOQSO

not attested not anchored not stored refs pending

Permanental Point Processes on Real Tori, Theta Functions and Monge-Amp\`ere Equations

Jakob Hultgren

arxiv:1604.05645 v2 · 2016-04-19 · math.AP · math.DG · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6TXG6WWJD5CI44KJWBWMDGOQSO}

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	2026-05-18T01:14:35.345863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4ee6f5ac91f448e7149b06cc199d09397dbb06240ea6729cc9a44de0cff126a

Aliases

arxiv: 1604.05645 · arxiv_version: 1604.05645v2 · doi: 10.48550/arxiv.1604.05645 · pith_short_12: 6TXG6WWJD5CI · pith_short_16: 6TXG6WWJD5CI44KJ · pith_short_8: 6TXG6WWJ

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/6TXG6WWJD5CI44KJWBWMDGOQSO \
  | 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: f4ee6f5ac91f448e7149b06cc199d09397dbb06240ea6729cc9a44de0cff126a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cf21e1942f157720ba2aee93ea100392fdc4d145e821633b6b0a32b8fd0395d",
    "cross_cats_sorted": [
      "math.DG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-19T16:40:28Z",
    "title_canon_sha256": "3b17371c669c073e4e6b2ae98468561116bdae849b82b083ebd6fd01b6d3f1e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05645",
    "kind": "arxiv",
    "version": 2
  }
}