Pith Number

pith:VRNG5ROB

pith:2019:VRNG5ROBGN5WIUZ6KWF7GTOMLS

not attested not anchored not stored refs pending

Stable Gaussian Minimal Bubbles

Steven Heilman

arxiv:1901.03934 v1 · 2019-01-13 · math.PR · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRNG5ROBGN5WIUZ6KWF7GTOMLS}

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	2026-05-17T23:56:26.687622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac5a6ec5c1337b64533e558bf34dcc5ca3056d3d2552b2161c7b692880fdf454

Aliases

arxiv: 1901.03934 · arxiv_version: 1901.03934v1 · doi: 10.48550/arxiv.1901.03934 · pith_short_12: VRNG5ROBGN5W · pith_short_16: VRNG5ROBGN5WIUZ6 · pith_short_8: VRNG5ROB

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/VRNG5ROBGN5WIUZ6KWF7GTOMLS \
  | 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: ac5a6ec5c1337b64533e558bf34dcc5ca3056d3d2552b2161c7b692880fdf454

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d8096fff367978f5481c4d5aa88d154e1f6f1621434b44db8fcd25cbbc8b366",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-01-13T04:34:42Z",
    "title_canon_sha256": "6c8213b0bb6af661f1b3d1db10f79c4e3851351901841a68e2b8758ccc6d9e5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03934",
    "kind": "arxiv",
    "version": 1
  }
}