Pith Number

pith:6PJIX3PW

pith:2011:6PJIX3PW3LM27GOFXMO5A6UWZX

not attested not anchored not stored refs pending

Existence and multiplicity of Homoclinic solutions for the second order Hamiltonian systems

Chungen Liu, Qingye Zhang

arxiv:1106.0361 v1 · 2011-06-02 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PJIX3PW3LM27GOFXMO5A6UWZX}

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	2026-05-18T04:20:50.567334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3d28bedf6dad9af99c5bb1dd07a96cdf3d6475cabf4c7bbcf8d9edf3e26102c

Aliases

arxiv: 1106.0361 · arxiv_version: 1106.0361v1 · doi: 10.48550/arxiv.1106.0361 · pith_short_12: 6PJIX3PW3LM2 · pith_short_16: 6PJIX3PW3LM27GOF · pith_short_8: 6PJIX3PW

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/6PJIX3PW3LM27GOFXMO5A6UWZX \
  | 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: f3d28bedf6dad9af99c5bb1dd07a96cdf3d6475cabf4c7bbcf8d9edf3e26102c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99b248d6383bf36f16f7d61173d6b51918cff1b23fd104f93b66acc5c604a75f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-06-02T03:14:26Z",
    "title_canon_sha256": "acb813087cd85d0f28982c5d1934cedb6d8c8eebce142bc4a0649e6cd0db5c97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0361",
    "kind": "arxiv",
    "version": 1
  }
}