Pith Number

pith:DIWCWVRG

pith:2015:DIWCWVRGM6T47S7DYYSMQE2HBX

not attested not anchored not stored refs pending

Polar foliations on quaternionic projective spaces

Claudio Gorodski, Miguel Dominguez-Vazquez

arxiv:1507.02720 v1 · 2015-07-09 · 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{DIWCWVRGM6T47S7DYYSMQE2HBX}

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	2026-05-18T01:37:03.363480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a2c2b562667a7cfcbe3c624c813470dde8de9cc7cb44e007cd8a43c8da39cc1

Aliases

arxiv: 1507.02720 · arxiv_version: 1507.02720v1 · doi: 10.48550/arxiv.1507.02720 · pith_short_12: DIWCWVRGM6T4 · pith_short_16: DIWCWVRGM6T47S7D · pith_short_8: DIWCWVRG

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/DIWCWVRGM6T47S7DYYSMQE2HBX \
  | 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: 1a2c2b562667a7cfcbe3c624c813470dde8de9cc7cb44e007cd8a43c8da39cc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a392deb4071e39b1f2bc597b3911850b4879ca3890148edf9a9c5cd5d88ec934",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-07-09T21:36:00Z",
    "title_canon_sha256": "f30c4594ea99834c5580d8a8aa65b0479ab0a5d6b87a04ccc07a2b95ca9f116a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02720",
    "kind": "arxiv",
    "version": 1
  }
}