Pith Number

pith:GIGRJCGU

pith:2017:GIGRJCGUC25JMP2VHQJV2QB62K

not attested not anchored not stored refs pending

Fine properties of the curvature of arbitrary closed sets

Mario Santilli

arxiv:1708.01549 v5 · 2017-08-04 · math.DG · math.AP · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GIGRJCGUC25JMP2VHQJV2QB62K}

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.

Cited by

1 paper in Pith

Uniqueness of critical points of the anisotropic isoperimetric problem for finite perimeter sets

Receipt and verification

First computed	2026-07-05T01:19:48.800833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

320d1488d416ba963f553c135d403ed2b380d6f7c3a54349d79729c7772404dc

Aliases

arxiv: 1708.01549 · arxiv_version: 1708.01549v5 · doi: 10.48550/arxiv.1708.01549 · pith_short_12: GIGRJCGUC25J · pith_short_16: GIGRJCGUC25JMP2V · pith_short_8: GIGRJCGU

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/GIGRJCGUC25JMP2VHQJV2QB62K \
  | 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: 320d1488d416ba963f553c135d403ed2b380d6f7c3a54349d79729c7772404dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2703657ed60a201785fc43ae9fd4c67ef7c046542ff95c9766cbff14ba7d2b3b",
    "cross_cats_sorted": [
      "math.AP",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-08-04T15:17:42Z",
    "title_canon_sha256": "a469f71234fb2ac1e5605c3e6be394c533cfb81ba17ec0c23cc7738d47737d2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01549",
    "kind": "arxiv",
    "version": 5
  }
}