Pith Number

pith:OW7NRPPP

pith:2014:OW7NRPPP5Q4RJYFMEEH74DKOOE

not attested not anchored not stored refs pending

Riemannian submersions from compact four manifolds

Xiaoyang Chen

arxiv:1409.4027 v1 · 2014-09-14 · 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{OW7NRPPP5Q4RJYFMEEH74DKOOE}

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	2026-05-18T02:42:53.198109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75bed8bdefec3914e0ac210ffe0d4e710c26cd294c2569e14e715e6a8658d73a

Aliases

arxiv: 1409.4027 · arxiv_version: 1409.4027v1 · doi: 10.48550/arxiv.1409.4027 · pith_short_12: OW7NRPPP5Q4R · pith_short_16: OW7NRPPP5Q4RJYFM · pith_short_8: OW7NRPPP

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/OW7NRPPP5Q4RJYFMEEH74DKOOE \
  | 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: 75bed8bdefec3914e0ac210ffe0d4e710c26cd294c2569e14e715e6a8658d73a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a741d17cf912d83b58dd0140cad7be1fded17766423d9dbc6962ab6fe6b34532",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-09-14T08:15:13Z",
    "title_canon_sha256": "f128035ea1acd6144dbc80f6691bbd2904d90c1128cc092ee85af3deae0f38e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4027",
    "kind": "arxiv",
    "version": 1
  }
}