Pith Number

pith:TWNBERPT

pith:2019:TWNBERPT5B3E2BTX2H32K3KJFU

not attested not anchored not stored refs pending

The Soap Bubble Theorem and Serrin's problem: quantitative symmetry

Giorgio Poggesi

arxiv:1902.08584 v1 · 2019-02-22 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TWNBERPT5B3E2BTX2H32K3KJFU}

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	2026-05-17T23:52:56.744391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d9a1245f3e8764d0677d1f7a56d492d0e6d67555a98a2e80d1d9618e4438aa9

Aliases

arxiv: 1902.08584 · arxiv_version: 1902.08584v1 · doi: 10.48550/arxiv.1902.08584 · pith_short_12: TWNBERPT5B3E · pith_short_16: TWNBERPT5B3E2BTX · pith_short_8: TWNBERPT

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/TWNBERPT5B3E2BTX2H32K3KJFU \
  | 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: 9d9a1245f3e8764d0677d1f7a56d492d0e6d67555a98a2e80d1d9618e4438aa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dc80888ec8b2f59f414da20bd8f4f66764f392239bd74961762f16672fed36d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-02-22T18:03:57Z",
    "title_canon_sha256": "e4b3556987e2eb61c88e3dd55d3ad786731ca7c9e3f1379c1734e0e12fd0a6bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.08584",
    "kind": "arxiv",
    "version": 1
  }
}