Pith Number

pith:NPQGZCV4

pith:2014:NPQGZCV45DED52FHPRLI2PFISV

not attested not anchored not stored refs pending

Rigidity of four-dimensional compact manifolds with harmonic Weyl tensor

Ernani Ribeiro Jr

arxiv:1410.3398 v2 · 2014-10-13 · math.DG · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NPQGZCV45DED52FHPRLI2PFISV}

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	2026-05-18T00:53:12.648932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6be06c8abce8c83ee8a77c568d3ca8957de5229bdfe7d4874b42139f72cb6b77

Aliases

arxiv: 1410.3398 · arxiv_version: 1410.3398v2 · doi: 10.48550/arxiv.1410.3398 · pith_short_12: NPQGZCV45DED · pith_short_16: NPQGZCV45DED52FH · pith_short_8: NPQGZCV4

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/NPQGZCV45DED52FHPRLI2PFISV \
  | 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: 6be06c8abce8c83ee8a77c568d3ca8957de5229bdfe7d4874b42139f72cb6b77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98e80a93ee91794c660f41db5511b991864beb90f2ecf56063cb898f0145b779",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-10-13T17:26:18Z",
    "title_canon_sha256": "b976b71d0062c91ac8fd3aed345b2be5b2c0113572e08bb19b3121b471b82318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3398",
    "kind": "arxiv",
    "version": 2
  }
}