Pith Number

pith:VPZSNTTP

pith:2012:VPZSNTTPMULC3XMTWG7YLSEON3

not attested not anchored not stored refs pending

Permanental fields, loop soups and continuous additive functionals

Jay Rosen, Michael B. Marcus, Yves Le Jan

arxiv:1209.1804 v2 · 2012-09-09 · 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{VPZSNTTPMULC3XMTWG7YLSEON3}

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	2026-05-18T02:29:53.361561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abf326ce6f65162ddd93b1bf85c88e6edae2a6749c5658926e515a2125801e21

Aliases

arxiv: 1209.1804 · arxiv_version: 1209.1804v2 · doi: 10.48550/arxiv.1209.1804 · pith_short_12: VPZSNTTPMULC · pith_short_16: VPZSNTTPMULC3XMT · pith_short_8: VPZSNTTP

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/VPZSNTTPMULC3XMTWG7YLSEON3 \
  | 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: abf326ce6f65162ddd93b1bf85c88e6edae2a6749c5658926e515a2125801e21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6443f5f0dc346ffb3800ee62031ffc69b0e1ba13fa1fe8b1a471861f36306a02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-09T14:50:04Z",
    "title_canon_sha256": "e90d0b267fef0becb9afa1ce47ed3f67613cafb1729ba1be73d4bb10a224d5b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1804",
    "kind": "arxiv",
    "version": 2
  }
}