Pith Number

pith:QJSNBQX5

pith:2014:QJSNBQX5LG3AVVPCDUTLODX6SN

not attested not anchored not stored refs pending

Morse theory and the resonant Q-curvature problem

Cheikh Birahim Ndiaye, Mohameden Ould Ahmedou

arxiv:1409.7919 v1 · 2014-09-28 · 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{QJSNBQX5LG3AVVPCDUTLODX6SN}

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	2026-05-18T02:41:34.071505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8264d0c2fd59b60ad5e21d26b70efe9376fa28e3ac88139cd22c6a4f6a558ef3

Aliases

arxiv: 1409.7919 · arxiv_version: 1409.7919v1 · doi: 10.48550/arxiv.1409.7919 · pith_short_12: QJSNBQX5LG3A · pith_short_16: QJSNBQX5LG3AVVPC · pith_short_8: QJSNBQX5

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/QJSNBQX5LG3AVVPCDUTLODX6SN \
  | 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: 8264d0c2fd59b60ad5e21d26b70efe9376fa28e3ac88139cd22c6a4f6a558ef3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "748d7a95cf68ffb113364fdfe52d7d08d999e835c29d0d38be15436b47fdce42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-09-28T15:18:41Z",
    "title_canon_sha256": "8de7e4ddb04d2f987011e0b7bd5835c11337c1568370726759cbf4268e772088"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7919",
    "kind": "arxiv",
    "version": 1
  }
}