Pith Number

pith:ALOWQXRN

pith:2019:ALOWQXRNYH5UBQK7TC2YLXRRY6

not attested not anchored not stored refs pending

Global bifurcation techniques for Yamabe type equations on Riemannian manifolds

Alejandro Betancourt de la Parra, Jimmy Petean, Jurgen Julio-Batalla

arxiv:1905.09305 v1 · 2019-05-22 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALOWQXRNYH5UBQK7TC2YLXRRY6}

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	2026-05-17T23:45:19.673723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02dd685e2dc1fb40c15f98b585de31c7b586cf67115dc1d36b44450ee49b867b

Aliases

arxiv: 1905.09305 · arxiv_version: 1905.09305v1 · doi: 10.48550/arxiv.1905.09305 · pith_short_12: ALOWQXRNYH5U · pith_short_16: ALOWQXRNYH5UBQK7 · pith_short_8: ALOWQXRN

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/ALOWQXRNYH5UBQK7TC2YLXRRY6 \
  | 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: 02dd685e2dc1fb40c15f98b585de31c7b586cf67115dc1d36b44450ee49b867b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e68ee8c90cbfa3c561d1da3296d16842f1102c6d2f4d68bfcf284c1105fe8e2",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-05-22T18:04:55Z",
    "title_canon_sha256": "b587427853efb918b973c71a5a5f7a1cbe792152b60d79348c28956773149e22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.09305",
    "kind": "arxiv",
    "version": 1
  }
}