Pith Number

pith:S5C4R5YH

pith:2016:S5C4R5YHABUZPHR3IHV6SYILNB

not attested not anchored not stored refs pending

On the stability for Alexandrov's Soap Bubble theorem

Giorgio Poggesi, Rolando Magnanini

arxiv:1610.07036 v2 · 2016-10-22 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5C4R5YHABUZPHR3IHV6SYILNB}

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	2026-05-18T00:46:55.446135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9745c8f7070069979e3b41ebe9610b686abb52ce7c378fb2bd685ae1ce218459

Aliases

arxiv: 1610.07036 · arxiv_version: 1610.07036v2 · doi: 10.48550/arxiv.1610.07036 · pith_short_12: S5C4R5YHABUZ · pith_short_16: S5C4R5YHABUZPHR3 · pith_short_8: S5C4R5YH

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/S5C4R5YHABUZPHR3IHV6SYILNB \
  | 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: 9745c8f7070069979e3b41ebe9610b686abb52ce7c378fb2bd685ae1ce218459

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c1b0f6c00c3116a10d3ebd88188794d9d540ec274f47364bb7414f789386fc0",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-22T11:28:45Z",
    "title_canon_sha256": "b5e1ee47beade1f44b6b5a48fa5ad2aadb970deb26944f40910b37d1a44c26a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07036",
    "kind": "arxiv",
    "version": 2
  }
}