Pith Number

pith:4OLXKYPW

pith:2014:4OLXKYPWM6PQIH4SNTAON4FC6O

not attested not anchored not stored refs pending

Bifurcations for a Coupled Schr\"odinger System with Multiple Components

Rushun Tian, Thomas Bartsch, Zhi-qiang Wang

arxiv:1408.4613 v1 · 2014-08-20 · 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{4OLXKYPWM6PQIH4SNTAON4FC6O}

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	2026-05-18T01:28:05.879409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3977561f6679f041f926cc0e6f0a2f399ae0e94ef3da8645153cbae629fb386

Aliases

arxiv: 1408.4613 · arxiv_version: 1408.4613v1 · doi: 10.48550/arxiv.1408.4613 · pith_short_12: 4OLXKYPWM6PQ · pith_short_16: 4OLXKYPWM6PQIH4S · pith_short_8: 4OLXKYPW

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/4OLXKYPWM6PQIH4SNTAON4FC6O \
  | 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: e3977561f6679f041f926cc0e6f0a2f399ae0e94ef3da8645153cbae629fb386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a8f3714793ba81b690dbf0c960ed17affc2d21828849d9971d19da561813efd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-08-20T11:43:43Z",
    "title_canon_sha256": "91208b6ac90cc87ee16e9b90a50be09f11d2b67015d3c8f0ce06868a0f99e862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4613",
    "kind": "arxiv",
    "version": 1
  }
}