Pith Number

pith:3WVBVDTY

pith:2017:3WVBVDTYRW2RDGILE7J4BXT3Z5

not attested not anchored not stored refs pending

Higher Eisenstein elements, higher Eichler formulas and rank of Hecke algebras

Emmanuel Lecouturier

arxiv:1709.09114 v2 · 2017-09-26 · 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{3WVBVDTYRW2RDGILE7J4BXT3Z5}

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	2026-05-18T00:19:35.378530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddaa1a8e788db511990b27d3c0de7bcf56eba7943299d7e9dc4907d597fc963a

Aliases

arxiv: 1709.09114 · arxiv_version: 1709.09114v2 · doi: 10.48550/arxiv.1709.09114 · pith_short_12: 3WVBVDTYRW2R · pith_short_16: 3WVBVDTYRW2RDGIL · pith_short_8: 3WVBVDTY

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/3WVBVDTYRW2RDGILE7J4BXT3Z5 \
  | 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: ddaa1a8e788db511990b27d3c0de7bcf56eba7943299d7e9dc4907d597fc963a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8095885f696464e0f71cb66a8e55ddfb135cbf51534e37dc3ee8830a324acae6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-26T16:24:50Z",
    "title_canon_sha256": "118a5069c6f9edbfe24a786663218ffb6d2aad43129f952b80d81114a82969d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09114",
    "kind": "arxiv",
    "version": 2
  }
}