Pith Number

pith:LJ7NRYJJ

pith:2016:LJ7NRYJJS4QICJKMZXDF3O5YBH

not attested not anchored not stored refs pending

Frame bundle approach to generalized minimal submanifolds

Kamil Niedzialomski

arxiv:1601.02248 v3 · 2016-01-10 · 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{LJ7NRYJJS4QICJKMZXDF3O5YBH}

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	2026-05-18T00:48:54.738290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a7ed8e129972081254ccdc65dbbb809f3ca97ce7fd1962dbd06ce35399665f9

Aliases

arxiv: 1601.02248 · arxiv_version: 1601.02248v3 · doi: 10.48550/arxiv.1601.02248 · pith_short_12: LJ7NRYJJS4QI · pith_short_16: LJ7NRYJJS4QICJKM · pith_short_8: LJ7NRYJJ

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/LJ7NRYJJS4QICJKMZXDF3O5YBH \
  | 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: 5a7ed8e129972081254ccdc65dbbb809f3ca97ce7fd1962dbd06ce35399665f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "711d63237a9a225893d3dd4127027be9c75db4dffabea479da16cd4e275e2f5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-01-10T18:33:52Z",
    "title_canon_sha256": "28161a708e3c153abac63526c02706afba04cda912008c7affab493411cc60b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02248",
    "kind": "arxiv",
    "version": 3
  }
}