Pith Number

pith:NFGQD2KM

pith:2025:NFGQD2KMROZNUHZXZFNNCDV6BJ

not attested not anchored not stored refs pending

Large-time asymptotics for the defocusing Manakov system on a nonzero background

Haibing Zhang, Jiao Wei, Xianguo Geng

arxiv:2512.21841 v2 · 2025-12-26 · nlin.SI · 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{NFGQD2KMROZNUHZXZFNNCDV6BJ}

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	2026-06-23T01:11:59.708538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

694d01e94c8bb2da1f37c95ad10ebe0a45bddc6de43646b0e428f5d40eb31bc8

Aliases

arxiv: 2512.21841 · arxiv_version: 2512.21841v2 · doi: 10.48550/arxiv.2512.21841 · pith_short_12: NFGQD2KMROZN · pith_short_16: NFGQD2KMROZNUHZX · pith_short_8: NFGQD2KM

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/NFGQD2KMROZNUHZXZFNNCDV6BJ \
  | 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: 694d01e94c8bb2da1f37c95ad10ebe0a45bddc6de43646b0e428f5d40eb31bc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edf7f9929bce9e79fbb676a02b5b63920975a768acb42da30c4302421afc0ee2",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2025-12-26T03:03:29Z",
    "title_canon_sha256": "769901d2c89a49bd6f815861059163b090f819f53d40b0a0c03e8627702d4160"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.21841",
    "kind": "arxiv",
    "version": 2
  }
}