Pith Number

pith:ZL2CC3SZ

pith:2018:ZL2CC3SZQW46TJT2UYTNT2G4TP

not attested not anchored not stored refs pending

On the min-max width of unit volume three-spheres

Lucas Ambrozio, Rafael Montezuma

arxiv:1809.03638 v2 · 2018-09-10 · 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{ZL2CC3SZQW46TJT2UYTNT2G4TP}

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	2026-05-18T00:02:24.680011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caf4216e5985b9e9a67aa626d9e8dc9bd08bbb82f4c4945bb889308fb083028f

Aliases

arxiv: 1809.03638 · arxiv_version: 1809.03638v2 · doi: 10.48550/arxiv.1809.03638 · pith_short_12: ZL2CC3SZQW46 · pith_short_16: ZL2CC3SZQW46TJT2 · pith_short_8: ZL2CC3SZ

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/ZL2CC3SZQW46TJT2UYTNT2G4TP \
  | 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: caf4216e5985b9e9a67aa626d9e8dc9bd08bbb82f4c4945bb889308fb083028f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d48d57aea20143715af636efe4a641c744444b6efa37f53a86340fcccb7c5c91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-09-10T23:55:33Z",
    "title_canon_sha256": "b15a9cb6c8de6e1daaf09c60069e8bc05ed672feb6efd140f72eeb0d1b90c315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.03638",
    "kind": "arxiv",
    "version": 2
  }
}