Pith Number

pith:ZW4F7TME

pith:2017:ZW4F7TMEFBJJ2N2TT2WT3ZDVGO

not attested not anchored not stored refs pending

Robust and scalable methods for the dynamic mode decomposition

Aleksandr Aravkin, J. Nathan Kutz, Peng Zheng, Travis Askham

arxiv:1712.01883 v1 · 2017-12-05 · math.OC · 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{ZW4F7TMEFBJJ2N2TT2WT3ZDVGO}

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	2026-05-18T00:28:39.828245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdb85fcd8428529d37539ead3de475339a4617c5e6deb9dfcadd3e6dd2b42924

Aliases

arxiv: 1712.01883 · arxiv_version: 1712.01883v1 · doi: 10.48550/arxiv.1712.01883 · pith_short_12: ZW4F7TMEFBJJ · pith_short_16: ZW4F7TMEFBJJ2N2T · pith_short_8: ZW4F7TME

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/ZW4F7TMEFBJJ2N2TT2WT3ZDVGO \
  | 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: cdb85fcd8428529d37539ead3de475339a4617c5e6deb9dfcadd3e6dd2b42924

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d20bfa33c85cdc65af50f9b99e1be6d697010411f4502db8bdf56e33696eed0",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-12-05T19:42:29Z",
    "title_canon_sha256": "a08eb966f1df8a95b962cde9644c896e19ad98db68e8dbe38446d309f017fbf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01883",
    "kind": "arxiv",
    "version": 1
  }
}