Pith Number

pith:N3ZR34T4

pith:2017:N3ZR34T4LTBSPJGN4NRAUBAF4R

not attested not anchored not stored refs pending

Generic Newton polygon for exponential sums in two variables with triangular base

Rufei Ren

arxiv:1701.00254 v2 · 2017-01-01 · 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{N3ZR34T4LTBSPJGN4NRAUBAF4R}

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	2026-05-18T00:53:16.917413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ef31df27c5cc327a4cde3620a0405e47df3bbf47a71444aa1546b73f6298de0

Aliases

arxiv: 1701.00254 · arxiv_version: 1701.00254v2 · doi: 10.48550/arxiv.1701.00254 · pith_short_12: N3ZR34T4LTBS · pith_short_16: N3ZR34T4LTBSPJGN · pith_short_8: N3ZR34T4

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/N3ZR34T4LTBSPJGN4NRAUBAF4R \
  | 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: 6ef31df27c5cc327a4cde3620a0405e47df3bbf47a71444aa1546b73f6298de0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fec6d0d39b85a6b4b08cd99ba35f9232d5cb2f0d3069f7d3f92b4a3354b8fc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-01-01T15:55:29Z",
    "title_canon_sha256": "8d005360ba838ae321f75baa3c1b36608156552610d963200f7ff5e005c38eb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00254",
    "kind": "arxiv",
    "version": 2
  }
}