Pith Number

pith:D7GA7KZI

pith:2016:D7GA7KZIDDLXVDDFBTDRM6RPKY

not attested not anchored not stored refs pending

A Characterization of the Critical Catenoid

Peter McGrath

arxiv:1603.04114 v3 · 2016-03-14 · 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{D7GA7KZIDDLXVDDFBTDRM6RPKY}

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	2026-05-18T00:17:55.416583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fcc0fab2818d77a8c650cc7167a2f562f003c2197e94fe5093685b306676d11

Aliases

arxiv: 1603.04114 · arxiv_version: 1603.04114v3 · doi: 10.48550/arxiv.1603.04114 · pith_short_12: D7GA7KZIDDLX · pith_short_16: D7GA7KZIDDLXVDDF · pith_short_8: D7GA7KZI

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/D7GA7KZIDDLXVDDFBTDRM6RPKY \
  | 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: 1fcc0fab2818d77a8c650cc7167a2f562f003c2197e94fe5093685b306676d11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0529a371eb7c1f0254128fbb8fc95e30bf4ff04f0023f3c7af6e4844c63a7b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-03-14T02:44:45Z",
    "title_canon_sha256": "b33578f4b8e83c4e56722f2035e716a534453799bd78cc6f7cdaa10351e8ea7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04114",
    "kind": "arxiv",
    "version": 3
  }
}