Pith Number

pith:CJAKH54U

pith:2010:CJAKH54UV4BYPRGJVSPWAW3KEM

not attested not anchored not stored refs pending

Stokes' theorem, volume growth and parabolicity

Daniele Valtorta, Giona Veronelli

arxiv:1005.2343 v2 · 2010-05-13 · 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{CJAKH54UV4BYPRGJVSPWAW3KEM}

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	2026-05-18T03:48:34.539619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1240a3f794af0387c4c9ac9f605b6a230e653e1d06fc1f206d857e12e7b2237a

Aliases

arxiv: 1005.2343 · arxiv_version: 1005.2343v2 · doi: 10.48550/arxiv.1005.2343 · pith_short_12: CJAKH54UV4BY · pith_short_16: CJAKH54UV4BYPRGJ · pith_short_8: CJAKH54U

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/CJAKH54UV4BYPRGJVSPWAW3KEM \
  | 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: 1240a3f794af0387c4c9ac9f605b6a230e653e1d06fc1f206d857e12e7b2237a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a7d44df7f70d2abd9dafd2da3a521a4ea80a92fe5077975a652ff2c4e0aa732",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-05-13T15:16:07Z",
    "title_canon_sha256": "4d064cc55594657a90408b7950330d8a70447346afe668703f006e25116c648e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2343",
    "kind": "arxiv",
    "version": 2
  }
}