Pith Number

pith:WUIET7JO

pith:2016:WUIET7JOCK3LN7IA54FV6NTFZR

not attested not anchored not stored refs pending

A classification of totally geodesic and totally umbilical Legendrian submanifolds of $(\kappa,\mu)$-spaces

Alfonso Carriazo, Luc Vrancken, Ver\'onica Mart\'in-Molina

arxiv:1611.04530 v3 · 2016-11-14 · 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{WUIET7JOCK3LN7IA54FV6NTFZR}

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	2026-05-17T23:54:36.971648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b51049fd2e12b6b6fd00ef0b5f3665cc4a61e1080947707ff911af243ed7f840

Aliases

arxiv: 1611.04530 · arxiv_version: 1611.04530v3 · doi: 10.48550/arxiv.1611.04530 · pith_short_12: WUIET7JOCK3L · pith_short_16: WUIET7JOCK3LN7IA · pith_short_8: WUIET7JO

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/WUIET7JOCK3LN7IA54FV6NTFZR \
  | 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: b51049fd2e12b6b6fd00ef0b5f3665cc4a61e1080947707ff911af243ed7f840

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5766f3b4e9e116c3e035526e9238b39d2f79c615f5879ba2a90049d6c3b7ee59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-11-14T19:18:53Z",
    "title_canon_sha256": "e4182e263e8111e62ca61f763f6401545f84a38b62a1b4686331dad5a9819a2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04530",
    "kind": "arxiv",
    "version": 3
  }
}