Pith Number

pith:DUPYK5IH

pith:2013:DUPYK5IHV3FBU56XZ2FQUCQ34O

not attested not anchored not stored refs pending

Rabinowitz-Floer Homology for Super-quadratic Dirac Equations On Compact spin Manifolds

Ali Maalaoui

arxiv:1303.5008 v1 · 2013-03-20 · 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{DUPYK5IHV3FBU56XZ2FQUCQ34O}

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	2026-05-18T03:30:15.415980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d1f857507aeca1a77d7ce8b0a0a1be3bb1a1801612dcb397fa23c926c87bdc1

Aliases

arxiv: 1303.5008 · arxiv_version: 1303.5008v1 · doi: 10.48550/arxiv.1303.5008 · pith_short_12: DUPYK5IHV3FB · pith_short_16: DUPYK5IHV3FBU56X · pith_short_8: DUPYK5IH

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/DUPYK5IHV3FBU56XZ2FQUCQ34O \
  | 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: 1d1f857507aeca1a77d7ce8b0a0a1be3bb1a1801612dcb397fa23c926c87bdc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bf2004242213e8eb3baf063f14d3beb5a7eeaec75a03e4c236d7bef6c92a6ec",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-03-20T18:10:58Z",
    "title_canon_sha256": "29c2f1e62883f8f26063b22e5f6453e60341b26cdbeb31936dd95be209660001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5008",
    "kind": "arxiv",
    "version": 1
  }
}