Pith Number

pith:V3AS2JE2

pith:2025:V3AS2JE24DW5NZBA6CHL67B43I

not attested not anchored not stored refs pending

Computing $H$-equations with 2-by-2 integral matrices

Enric Ventura, Gemma Bastardas

arxiv:2506.05272 v1 · 2025-06-05 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V3AS2JE24DW5NZBA6CHL67B43I}

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	2026-07-05T11:16:45.038155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aec12d249ae0edd6e420f08ebf7c3cda273300c38f1da6a169de4c9f7b4f1aaf

Aliases

arxiv: 2506.05272 · arxiv_version: 2506.05272v1 · doi: 10.48550/arxiv.2506.05272 · pith_short_12: V3AS2JE24DW5 · pith_short_16: V3AS2JE24DW5NZBA · pith_short_8: V3AS2JE2

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/V3AS2JE24DW5NZBA6CHL67B43I \
  | 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: aec12d249ae0edd6e420f08ebf7c3cda273300c38f1da6a169de4c9f7b4f1aaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6575d1b93be391b29c2eab0b0bd37a47885349f62a9bf20c8c24ddee6e5e300b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-06-05T17:30:49Z",
    "title_canon_sha256": "a3ea06021559ee3353c3d9e784471d322d724cd17df334736fc26b4380c96937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05272",
    "kind": "arxiv",
    "version": 1
  }
}