Pith Number

pith:GHLR7IOV

pith:2019:GHLR7IOVYNEFSWMHMV2PYZ5YPP

not attested not anchored not stored refs pending

On Sullivan's construction of eigenfunctions via exit times of Brownian motion

Kingshook Biswas

arxiv:1908.00465 v1 · 2019-08-01 · 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{GHLR7IOVYNEFSWMHMV2PYZ5YPP}

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	2026-07-04T23:51:00.704946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31d71fa1d5c3485959876574fc67b87bcab18752c79c0376ca8f24d41fbf2cab

Aliases

arxiv: 1908.00465 · arxiv_version: 1908.00465v1 · doi: 10.48550/arxiv.1908.00465 · pith_short_12: GHLR7IOVYNEF · pith_short_16: GHLR7IOVYNEFSWMH · pith_short_8: GHLR7IOV

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/GHLR7IOVYNEFSWMHMV2PYZ5YPP \
  | 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: 31d71fa1d5c3485959876574fc67b87bcab18752c79c0376ca8f24d41fbf2cab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40753beafd0dcdeb53e39f213cd4e5bb8d46df6911c909a23c2a854860eda1c9",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-01T15:42:20Z",
    "title_canon_sha256": "2bcfbdd4cde2bf606d793034cffdb2ae449f55a31a97bca69018eaa21ce37f12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00465",
    "kind": "arxiv",
    "version": 1
  }
}