Pith Number

pith:PKQTW2LL

pith:2018:PKQTW2LLTEZ3ZAAOKQ7PX5HOGY

not attested not anchored not stored refs pending

On Modelling and Complete Solutions to General Fixpoint Problems in Multi-Scale Systems with Applications

David Yang Gao, Ning Ruan

arxiv:1801.08651 v1 · 2018-01-26 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PKQTW2LLTEZ3ZAAOKQ7PX5HOGY}

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	2026-05-18T00:25:03.347116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aa13b696b9933bc800e543efbf4ee363592810222017082342930d16ac73b2c

Aliases

arxiv: 1801.08651 · arxiv_version: 1801.08651v1 · doi: 10.48550/arxiv.1801.08651 · pith_short_12: PKQTW2LLTEZ3 · pith_short_16: PKQTW2LLTEZ3ZAAO · pith_short_8: PKQTW2LL

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/PKQTW2LLTEZ3ZAAOKQ7PX5HOGY \
  | 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: 7aa13b696b9933bc800e543efbf4ee363592810222017082342930d16ac73b2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bc21365ee59f23ec566a308826f3381a1584320bb7e1d0675d46c85da972200",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-01-26T02:07:41Z",
    "title_canon_sha256": "69be5422d6afbc77715f199208436608f29c56609174fbdba4bb76db90a10111"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08651",
    "kind": "arxiv",
    "version": 1
  }
}