Pith Number

pith:JP3YDD5U

pith:2016:JP3YDD5UNDVXNNQDY2NXJVSFY5

not attested not anchored not stored refs pending

The Riemann minimal examples

Joaquin Perez, William H. Meeks III

arxiv:1609.05660 v1 · 2016-09-19 · 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{JP3YDD5UNDVXNNQDY2NXJVSFY5}

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	2026-05-18T01:04:25.712742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bf7818fb468eb76b603c69b74d645c76802692765648b1ecf88c214c554f8a7

Aliases

arxiv: 1609.05660 · arxiv_version: 1609.05660v1 · doi: 10.48550/arxiv.1609.05660 · pith_short_12: JP3YDD5UNDVX · pith_short_16: JP3YDD5UNDVXNNQD · pith_short_8: JP3YDD5U

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/JP3YDD5UNDVXNNQDY2NXJVSFY5 \
  | 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: 4bf7818fb468eb76b603c69b74d645c76802692765648b1ecf88c214c554f8a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac5a3d3d01a82432e1334b34ed809d03deb776b2fe15543ae113c75e6b5b0726",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-19T10:37:16Z",
    "title_canon_sha256": "18bca02472f4cbf198a6238e677fec3b94b43bc7a901da4233e7b641fb3c9890"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05660",
    "kind": "arxiv",
    "version": 1
  }
}