Pith Number

pith:IMUMD7NF

pith:2017:IMUMD7NFTPUQUG5AJW3AO6EJ7U

not attested not anchored not stored refs pending

A characterization of round spheres in space forms

Francisco Fontenele, Roberto Alonso N\'u\~nez

arxiv:1706.04644 v1 · 2017-06-14 · 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{IMUMD7NFTPUQUG5AJW3AO6EJ7U}

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	2026-05-18T00:03:09.766280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4328c1fda59be90a1ba04db6077889fd24cecddb3b7e99c2d8702242af114941

Aliases

arxiv: 1706.04644 · arxiv_version: 1706.04644v1 · doi: 10.48550/arxiv.1706.04644 · pith_short_12: IMUMD7NFTPUQ · pith_short_16: IMUMD7NFTPUQUG5A · pith_short_8: IMUMD7NF

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/IMUMD7NFTPUQUG5AJW3AO6EJ7U \
  | 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: 4328c1fda59be90a1ba04db6077889fd24cecddb3b7e99c2d8702242af114941

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6343f457a1af19dc803637d5d209aee07a70d94fea11deb378c57b5086426d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-06-14T19:22:33Z",
    "title_canon_sha256": "11985cf35ecdd354b902a4acd8377e2a3ed0ca47c3454335b62ca30bfeeae5c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04644",
    "kind": "arxiv",
    "version": 1
  }
}