Pith Number

pith:U6HLJ3SN

pith:2012:U6HLJ3SNCXWIP3GYYXVJDHBTBU

not attested not anchored not stored refs pending

Differentiability of the isoperimetric profile and topology of analytic Riemannian manifolds

LM-Orsay), Pierre Pansu (LM-Orsay), Renata Grimaldi (DMMM), Stefano Nardulli (DMMM

arxiv:1207.5616 v1 · 2012-07-24 · 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{U6HLJ3SNCXWIP3GYYXVJDHBTBU}

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	2026-05-18T03:50:11.872084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a78eb4ee4d15ec87ecd8c5ea919c330d1a7085e11da14c36923443b8ec617aaa

Aliases

arxiv: 1207.5616 · arxiv_version: 1207.5616v1 · doi: 10.48550/arxiv.1207.5616 · pith_short_12: U6HLJ3SNCXWI · pith_short_16: U6HLJ3SNCXWIP3GY · pith_short_8: U6HLJ3SN

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/U6HLJ3SNCXWIP3GYYXVJDHBTBU \
  | 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: a78eb4ee4d15ec87ecd8c5ea919c330d1a7085e11da14c36923443b8ec617aaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fed6a9d33e144f8f7b02cabc167f88bb5ba1de9763af709b6014cbe41010f4a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-24T08:29:26Z",
    "title_canon_sha256": "c979afe479295508ac62dc383878233b24d3d45b90090fd13970680bf91abfd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5616",
    "kind": "arxiv",
    "version": 1
  }
}