Pith Number

pith:VJNO5FDA

pith:2008:VJNO5FDAL7VLGBDOIAGAT7UO4T

not attested not anchored not stored refs pending

The number of constant mean curvature isometric immersions of a surface

Brian Smyth, Giuseppe Tinaglia

arxiv:0811.1231 v2 · 2008-11-10 · 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{VJNO5FDAL7VLGBDOIAGAT7UO4T}

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	2026-07-04T15:16:02.442746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa5aee94605feab3046e400c09fe8ee4e75c74033783c9e20b5a114bbd317327

Aliases

arxiv: 0811.1231 · arxiv_version: 0811.1231v2 · doi: 10.48550/arxiv.0811.1231 · pith_short_12: VJNO5FDAL7VL · pith_short_16: VJNO5FDAL7VLGBDO · pith_short_8: VJNO5FDA

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/VJNO5FDAL7VLGBDOIAGAT7UO4T \
  | 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: aa5aee94605feab3046e400c09fe8ee4e75c74033783c9e20b5a114bbd317327

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20536d4be7ef7cfd14e193ac088c7f784ad8b90ca5169965d1d5ae66c98ea03e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-11-10T14:25:29Z",
    "title_canon_sha256": "ef24ae53fb35ec93099685dea4ced54ad7c661193688700e712f4afb636bff10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.1231",
    "kind": "arxiv",
    "version": 2
  }
}