Pith Number

pith:TVYAOGJ3

pith:2026:TVYAOGJ3H75SRSYQ7RNASOIVKP

not attested not anchored not stored refs pending

Bernoulli determinants and cuspidal subgroups

Fran\c{c}ois Brunault (UMPA-ENSL)

arxiv:2607.13536 v1 · 2026-07-15 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TVYAOGJ3H75SRSYQ7RNASOIVKP}

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	2026-07-16T01:22:52.297919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d7007193b3ffb28cb10fc5a09391553c9570563b4b09263c5b32acfc0912d35

Aliases

arxiv: 2607.13536 · arxiv_version: 2607.13536v1 · doi: 10.48550/arxiv.2607.13536 · pith_short_12: TVYAOGJ3H75S · pith_short_16: TVYAOGJ3H75SRSYQ · pith_short_8: TVYAOGJ3

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/TVYAOGJ3H75SRSYQ7RNASOIVKP \
  | 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: 9d7007193b3ffb28cb10fc5a09391553c9570563b4b09263c5b32acfc0912d35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ce4e4e34096544465b93d034909c7db98fbe2607c0711aa09415fd9893d0feb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-15T07:40:49Z",
    "title_canon_sha256": "b1cff98a42a7644bebb9d3285d5553c66a5ba39e168c6a55cacf84146b4d169f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13536",
    "kind": "arxiv",
    "version": 1
  }
}