Pith Number

pith:WVCIDA7K

pith:2013:WVCIDA7KU7NPUQPLJPMAN3NNBO

not attested not anchored not stored refs pending

Averaging for nonlinear systems evolving on Riemannian manifolds

Dragan Ne\v{s}i\'c, Farzin Taringoo, Peter M. Dower, Ying Tan

arxiv:1311.2357 v2 · 2013-11-11 · 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{WVCIDA7KU7NPUQPLJPMAN3NNBO}

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	2026-05-18T02:52:58.214089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5448183eaa7dafa41eb4bd806edad0ba4ad873cfb5ca19a9e5a87da7cd6d774

Aliases

arxiv: 1311.2357 · arxiv_version: 1311.2357v2 · doi: 10.48550/arxiv.1311.2357 · pith_short_12: WVCIDA7KU7NP · pith_short_16: WVCIDA7KU7NPUQPL · pith_short_8: WVCIDA7K

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/WVCIDA7KU7NPUQPLJPMAN3NNBO \
  | 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: b5448183eaa7dafa41eb4bd806edad0ba4ad873cfb5ca19a9e5a87da7cd6d774

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "085c55f82d68cbd29b4eb99930a8e11c4bb1e092f279291f53a042e9ee793342",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-11-11T05:38:28Z",
    "title_canon_sha256": "265b7f0b3059d8ed3cc666321e44a8ccc2ee647b16b981d0f2ff144f81b2c3f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2357",
    "kind": "arxiv",
    "version": 2
  }
}