Pith Number

pith:WXX3DEQC

pith:2013:WXX3DEQCN64TCE3IU7POBO74UA

not attested not anchored not stored refs pending

Isoparametric functions and harmonic unit vector fields in K-contact geometry

Philippe Rukimbira

arxiv:1309.4015 v1 · 2013-09-16 · 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{WXX3DEQCN64TCE3IU7POBO74UA}

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	2026-05-18T03:13:11.493114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5efb192026fb9311368a7dee0bbfca036d67e6f71dd6627dc9ecf6ca129fbb8

Aliases

arxiv: 1309.4015 · arxiv_version: 1309.4015v1 · doi: 10.48550/arxiv.1309.4015 · pith_short_12: WXX3DEQCN64T · pith_short_16: WXX3DEQCN64TCE3I · pith_short_8: WXX3DEQC

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/WXX3DEQCN64TCE3IU7POBO74UA \
  | 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: b5efb192026fb9311368a7dee0bbfca036d67e6f71dd6627dc9ecf6ca129fbb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bdd698e5ae595ba79ca6c41293917e7fe4a4cc4ce347fb1b48d479113cc1a5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-09-16T16:01:08Z",
    "title_canon_sha256": "1d84a8f1edf1c9bd8ea0c12f69b5fff95e69bacf2594c5e36d0d9760e862dac6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4015",
    "kind": "arxiv",
    "version": 1
  }
}