Pith Number

pith:MYGDYHU3

pith:2015:MYGDYHU33UZRSYRRCZL3KZGDCU

not attested not anchored not stored refs pending

A discontinuous isoperimetric profile for a complete Riemannian manifold

Pierre Pansu (UP11), Stefano Nardulli

arxiv:1506.04892 v1 · 2015-06-16 · 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{MYGDYHU33UZRSYRRCZL3KZGDCU}

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	2026-05-18T01:48:05.595989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

660c3c1e9bdd331962311657b564c3150932000e420a78e1771e62d3f0193a31

Aliases

arxiv: 1506.04892 · arxiv_version: 1506.04892v1 · doi: 10.48550/arxiv.1506.04892 · pith_short_12: MYGDYHU33UZR · pith_short_16: MYGDYHU33UZRSYRR · pith_short_8: MYGDYHU3

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/MYGDYHU33UZRSYRRCZL3KZGDCU \
  | 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: 660c3c1e9bdd331962311657b564c3150932000e420a78e1771e62d3f0193a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b03c1fb158d9927c3b3f42027a1fb2e4983e8a592f1c063955d5c5d198fefb7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-06-16T09:45:08Z",
    "title_canon_sha256": "905fc95f2a03af397b45e4869813dbdc1484f982dca3bc8c8f8ee4f1f4b6e569"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04892",
    "kind": "arxiv",
    "version": 1
  }
}