Pith Number

pith:CXN5IOEF

pith:2011:CXN5IOEF7CSWRDPYDLHNTSR5EB

not attested not anchored not stored refs pending

Nondegenerate singularities of integrable dynamical systems

Nguyen Tien Zung

arxiv:1108.3551 v3 · 2011-08-17 · 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{CXN5IOEF7CSWRDPYDLHNTSR5EB}

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	2026-05-18T03:20:33.079067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15dbd43885f8a5688df81aced9ca3d205b441fd063c877acf916435351c0ea0b

Aliases

arxiv: 1108.3551 · arxiv_version: 1108.3551v3 · doi: 10.48550/arxiv.1108.3551 · pith_short_12: CXN5IOEF7CSW · pith_short_16: CXN5IOEF7CSWRDPY · pith_short_8: CXN5IOEF

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/CXN5IOEF7CSWRDPYDLHNTSR5EB \
  | 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: 15dbd43885f8a5688df81aced9ca3d205b441fd063c877acf916435351c0ea0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a02a0a0f96b423984eb1e477723205a0b0a6b093a1a995badcf3f84c3e699025",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-08-17T19:02:40Z",
    "title_canon_sha256": "9bca9615ffe85643cfbcbd06389579ee83a0cbabfdb9f34e4a8b4115183ddc5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3551",
    "kind": "arxiv",
    "version": 3
  }
}