Pith Number

pith:NBWXKS5U

pith:2016:NBWXKS5U3TYL4XZLUV2NB24PUD

not attested not anchored not stored refs pending

Biharmonic tori in spheres

Cezar Oniciuc, Dorel Fetcu, Eric Loubeau

arxiv:1610.04976 v1 · 2016-10-17 · 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{NBWXKS5U3TYL4XZLUV2NB24PUD}

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	2026-05-18T01:02:06.530040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

686d754bb4dcf0be5f2ba574d0eb8fa0f4936b259f049a0700ab1d6284af8272

Aliases

arxiv: 1610.04976 · arxiv_version: 1610.04976v1 · doi: 10.48550/arxiv.1610.04976 · pith_short_12: NBWXKS5U3TYL · pith_short_16: NBWXKS5U3TYL4XZL · pith_short_8: NBWXKS5U

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/NBWXKS5U3TYL4XZLUV2NB24PUD \
  | 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: 686d754bb4dcf0be5f2ba574d0eb8fa0f4936b259f049a0700ab1d6284af8272

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdb06c2c93e9dd2c896eaa0927f2152b1dba727094d2e926e8159fbeee8e05f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-10-17T05:29:43Z",
    "title_canon_sha256": "23cdac230e07967918be4c746d945c6113ab5d93ccd53bb950337d61a0324a67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04976",
    "kind": "arxiv",
    "version": 1
  }
}