Pith Number

pith:P4AULWRK

pith:2019:P4AULWRKWXEZWKKPLXQ2HMSG65

not attested not anchored not stored refs pending

Newton Polygons of Hecke Operators

Andrei Jorza, Liubomir Chiriac

arxiv:1912.02909 v2 · 2019-12-05 · 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{P4AULWRKWXEZWKKPLXQ2HMSG65}

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	2026-05-17T23:39:18.666309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f0145da2ab5c99b294f5de1a3b246f7782e308005eaaccb34428412345cb1b7

Aliases

arxiv: 1912.02909 · arxiv_version: 1912.02909v2 · doi: 10.48550/arxiv.1912.02909 · pith_short_12: P4AULWRKWXEZ · pith_short_16: P4AULWRKWXEZWKKP · pith_short_8: P4AULWRK

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/P4AULWRKWXEZWKKPLXQ2HMSG65 \
  | 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: 7f0145da2ab5c99b294f5de1a3b246f7782e308005eaaccb34428412345cb1b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9475c4579874a4450a418ceae7b74e211e1c9145076cfc86e13a42afa6b7db31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-12-05T22:49:52Z",
    "title_canon_sha256": "9f6340366879e588b655f9f1c403434cae403e32f3482079ca68abc61898d704"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.02909",
    "kind": "arxiv",
    "version": 2
  }
}