Pith Number

pith:JHODXV3B

pith:2018:JHODXV3BXFDN2Y2MNQ2YTENT4E

not attested not anchored not stored refs pending

Fractal Weyl bounds and Hecke triangle groups

Anke Pohl, Frederic Naud, Louis Soares

arxiv:1810.04489 v1 · 2018-10-10 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JHODXV3BXFDN2Y2MNQ2YTENT4E}

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	2026-05-18T00:03:40.019768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49dc3bd761b946dd634c6c358991b3e1219c218a4087349cb3666d58f5115fc5

Aliases

arxiv: 1810.04489 · arxiv_version: 1810.04489v1 · doi: 10.48550/arxiv.1810.04489 · pith_short_12: JHODXV3BXFDN · pith_short_16: JHODXV3BXFDN2Y2M · pith_short_8: JHODXV3B

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/JHODXV3BXFDN2Y2MNQ2YTENT4E \
  | 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: 49dc3bd761b946dd634c6c358991b3e1219c218a4087349cb3666d58f5115fc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aee3d5167d3da1f6f60a316778f915f0ba9c37dd09e129bb914376e83af3f106",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-10-10T12:51:55Z",
    "title_canon_sha256": "186add5937077bd6b27b4167d750f3294250a75194a8acd8bd4840c6a1ad3b37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04489",
    "kind": "arxiv",
    "version": 1
  }
}