Pith Number

pith:S35GIUBM

pith:2015:S35GIUBMBGAHCXC5WBU5K5UXRY

not attested not anchored not stored refs pending

Improved convergence theorems for bubble clusters. II. The three-dimensional case

Francesco Maggi, Gian Paolo Leonardi

arxiv:1505.06709 v1 · 2015-05-25 · math.AP · math.MG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S35GIUBMBGAHCXC5WBU5K5UXRY}

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	2026-05-18T02:03:44.210455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96fa64502c0980715c5db069d576978e26226cce235df987e01e04ae63eb5662

Aliases

arxiv: 1505.06709 · arxiv_version: 1505.06709v1 · doi: 10.48550/arxiv.1505.06709 · pith_short_12: S35GIUBMBGAH · pith_short_16: S35GIUBMBGAHCXC5 · pith_short_8: S35GIUBM

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/S35GIUBMBGAHCXC5WBU5K5UXRY \
  | 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: 96fa64502c0980715c5db069d576978e26226cce235df987e01e04ae63eb5662

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0fb151b4a59eb92cfb2bb4fdf91b770246ab2b19a9681e6e336a45629bec933",
    "cross_cats_sorted": [
      "math.MG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-25T18:25:19Z",
    "title_canon_sha256": "218962078ebf1c7f1d6783a334e113118882e325a087cf9d4330e4077906c040"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06709",
    "kind": "arxiv",
    "version": 1
  }
}