Pith Number

pith:YV3TZM2N

pith:2025:YV3TZM2NJDOEBOGMK37K74G52Q

not attested not anchored not stored refs pending

Second-Order Parameterizations for the Complexity Theory of Integrable Functions

Aras Bacho, Martin Ziegler

arxiv:2506.11210 v1 · 2025-06-12 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YV3TZM2NJDOEBOGMK37K74G52Q}

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	2026-07-05T11:21:01.233847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5773cb34d48dc40b8cc56feaff0ddd421e6cce86215f8c16feb341476f65da0

Aliases

arxiv: 2506.11210 · arxiv_version: 2506.11210v1 · doi: 10.48550/arxiv.2506.11210 · pith_short_12: YV3TZM2NJDOE · pith_short_16: YV3TZM2NJDOEBOGM · pith_short_8: YV3TZM2N

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/YV3TZM2NJDOEBOGMK37K74G52Q \
  | 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: c5773cb34d48dc40b8cc56feaff0ddd421e6cce86215f8c16feb341476f65da0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93b28dc7b16f8cb5530b3fe8b1363df1c7074dd7521761f8c46c847dbb6335cf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-06-12T18:18:48Z",
    "title_canon_sha256": "c6c37acd7704dd2413918f2929aa9196f3ef689a46b2e5ae12d0f829aaff960a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11210",
    "kind": "arxiv",
    "version": 1
  }
}