Pith Number

pith:B2HWIBXU

pith:2013:B2HWIBXUQQH3OOTQ3KPRKYFXWW

not attested not anchored not stored refs pending

Highly symmetric 2-plane fields on 5-manifolds and 5-dimensional Heisenberg group holonomy

Travis Willse

arxiv:1302.7163 v2 · 2013-02-28 · 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{B2HWIBXUQQH3OOTQ3KPRKYFXWW}

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	2026-05-18T02:32:00.440430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e8f6406f4840fb73a70da9f1560b7b587e94ee72f9766d9e74a52a0a0ad2489

Aliases

arxiv: 1302.7163 · arxiv_version: 1302.7163v2 · doi: 10.48550/arxiv.1302.7163 · pith_short_12: B2HWIBXUQQH3 · pith_short_16: B2HWIBXUQQH3OOTQ · pith_short_8: B2HWIBXU

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/B2HWIBXUQQH3OOTQ3KPRKYFXWW \
  | 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: 0e8f6406f4840fb73a70da9f1560b7b587e94ee72f9766d9e74a52a0a0ad2489

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb5c6aa5445d47c321fbf4dba8de94640697cc06c1e9f083c1d57132037b87b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-28T12:14:51Z",
    "title_canon_sha256": "2893e9ef9902b75b4eba95604698ee1eea541626c8161fcd784324fd2fd10539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.7163",
    "kind": "arxiv",
    "version": 2
  }
}