Pith Number

pith:SRGC34CQ

pith:2017:SRGC34CQFSNNKAOEXDUSGKHUXA

not attested not anchored not stored refs pending

Density of a minimal submanifold and total curvature of its boundary

Jaigyoung Choe, Robert Gulliver

arxiv:1709.02078 v1 · 2017-09-07 · 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{SRGC34CQFSNNKAOEXDUSGKHUXA}

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	2026-05-18T00:35:50.317116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

944c2df0502c9ad501c4b8e92328f4b814894b250c2560bab0eb5563f259de59

Aliases

arxiv: 1709.02078 · arxiv_version: 1709.02078v1 · doi: 10.48550/arxiv.1709.02078 · pith_short_12: SRGC34CQFSNN · pith_short_16: SRGC34CQFSNNKAOE · pith_short_8: SRGC34CQ

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/SRGC34CQFSNNKAOEXDUSGKHUXA \
  | 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: 944c2df0502c9ad501c4b8e92328f4b814894b250c2560bab0eb5563f259de59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "081210f77c7bb6fe0ef94c7c3a1ca46e5c7653f11c0d1c23f860c9800c49be44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-09-07T05:44:36Z",
    "title_canon_sha256": "6d96d8c8412a3701c2d7a33ebb02d08443fea4c5250f0e47478c200aa0903496"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02078",
    "kind": "arxiv",
    "version": 1
  }
}