Pith Number

pith:Z3FVZNLO

pith:2015:Z3FVZNLOLVJXGXDWEJYU4GM2RK

not attested not anchored not stored refs pending

Existence results for coupled Dirac systems via Rabinowitz-Floer theory

Guangcun Lu, Wenmin Gong

arxiv:1511.06829 v2 · 2015-11-21 · math.AP · 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{Z3FVZNLOLVJXGXDWEJYU4GM2RK}

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	2026-05-18T01:12:55.145335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cecb5cb56e5d53735c7622714e199a8a934a4ee3a977d26c65de52e4e221a6a1

Aliases

arxiv: 1511.06829 · arxiv_version: 1511.06829v2 · doi: 10.48550/arxiv.1511.06829 · pith_short_12: Z3FVZNLOLVJX · pith_short_16: Z3FVZNLOLVJXGXDW · pith_short_8: Z3FVZNLO

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/Z3FVZNLOLVJXGXDWEJYU4GM2RK \
  | 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: cecb5cb56e5d53735c7622714e199a8a934a4ee3a977d26c65de52e4e221a6a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1d818b7ba85451982e976d0cce1c28eac4f9a0a75b50726164c4c40208353f1",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-21T03:57:04Z",
    "title_canon_sha256": "925e1ad3f54d7a04248653e1d13a79c0c0f168d84347f62fbb3bb5ce71c3cb08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06829",
    "kind": "arxiv",
    "version": 2
  }
}