Pith Number

pith:CLIOAPSI

pith:2016:CLIOAPSIUIC43W3NJCOUBLZKGX

not attested not anchored not stored refs pending

Topological recursion on the Bessel curve

Norman Do, Paul Norbury

arxiv:1608.02781 v1 · 2016-08-09 · math-ph · math.CO · 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{CLIOAPSIUIC43W3NJCOUBLZKGX}

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.

Cited by

1 paper in Pith

The Super Virasoro Minimal String from 3d Supergravity

Receipt and verification

First computed	2026-05-18T01:09:33.687731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12d0e03e48a205cddb6d489d40af2a35ca92484000a1d964a0df50369dab6eb4

Aliases

arxiv: 1608.02781 · arxiv_version: 1608.02781v1 · doi: 10.48550/arxiv.1608.02781 · pith_short_12: CLIOAPSIUIC4 · pith_short_16: CLIOAPSIUIC43W3N · pith_short_8: CLIOAPSI

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/CLIOAPSIUIC43W3NJCOUBLZKGX \
  | 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: 12d0e03e48a205cddb6d489d40af2a35ca92484000a1d964a0df50369dab6eb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9daa5d9d453f95b0929101aa921efebae691a46348f8352292db4f06229c521a",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-08-09T12:16:39Z",
    "title_canon_sha256": "ea51e9d3511fda4de966afe771bc508cb43fe47964dbfec06257f935a3cc3a27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02781",
    "kind": "arxiv",
    "version": 1
  }
}