Pith Number

pith:BVVM6NPD

pith:2018:BVVM6NPD2CX4ICJ3ZL4QT35HRB

not attested not anchored not stored refs pending

An index theory with applications to homoclinic Orbits of Hamiltonian systems and Dirac equations

Chungen Liu, Qi Wang

arxiv:1802.03492 v1 · 2018-02-10 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BVVM6NPD2CX4ICJ3ZL4QT35HRB}

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	2026-05-18T00:23:51.423370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d6acf35e3d0afc4093bcaf909efa7887cf1f3379afab4a1cb69ee0df6454083

Aliases

arxiv: 1802.03492 · arxiv_version: 1802.03492v1 · doi: 10.48550/arxiv.1802.03492 · pith_short_12: BVVM6NPD2CX4 · pith_short_16: BVVM6NPD2CX4ICJ3 · pith_short_8: BVVM6NPD

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/BVVM6NPD2CX4ICJ3ZL4QT35HRB \
  | 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: 0d6acf35e3d0afc4093bcaf909efa7887cf1f3379afab4a1cb69ee0df6454083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac5f74578d39dc97c7a7dd550b33d607681f96dfaec9a7de29ac5f0e1430e5d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-02-10T01:18:59Z",
    "title_canon_sha256": "1ecd30079bdaa80bfea6c7106b622d1dcd41a4b285064dae69ef38178683a9d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03492",
    "kind": "arxiv",
    "version": 1
  }
}