Pith Number

pith:ZNK72NX7

pith:2024:ZNK72NX74URRZXQEQBPTEPKPVX

not attested not anchored not stored refs pending

Koopman Theory-Inspired Method for Learning Time Advancement Operators in Unstable Flame Front Evolution

Erdzan Hodzic, Marco Herbert, Markus Klein, Rixin Yu

arxiv:2412.08426 v1 · 2024-12-11 · math.DS · cs.LG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNK72NX74URRZXQEQBPTEPKPVX}

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	2026-07-05T09:47:50.006607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb55fd36ffe5231cde04805f323d4fade37038800e1ba94f302cb17a620aab2f

Aliases

arxiv: 2412.08426 · arxiv_version: 2412.08426v1 · doi: 10.48550/arxiv.2412.08426 · pith_short_12: ZNK72NX74URR · pith_short_16: ZNK72NX74URRZXQE · pith_short_8: ZNK72NX7

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/ZNK72NX74URRZXQEQBPTEPKPVX \
  | 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: cb55fd36ffe5231cde04805f323d4fade37038800e1ba94f302cb17a620aab2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35909a1bf159635f865e384255045897116feb04b0ff2b409b88badae6dbcb20",
    "cross_cats_sorted": [
      "cs.LG",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-12-11T14:47:19Z",
    "title_canon_sha256": "51f542f33c4dd208e21793384d6d266a56cf175ef0739861b6a005167317b638"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.08426",
    "kind": "arxiv",
    "version": 1
  }
}