Pith Number

pith:3LFT3E6J

pith:2013:3LFT3E6JVSNEIU6DIQQCBQGFSW

not attested not anchored not stored refs pending

Counting $S_5$-fields with a power saving error term

Arul Shankar, Jacob Tsimerman

arxiv:1310.1998 v2 · 2013-10-08 · 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{3LFT3E6JVSNEIU6DIQQCBQGFSW}

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	2026-05-18T03:10:57.559494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dacb3d93c9ac9a4453c3442020c0c595bb7f0ab3e3770924f7ca1cc56dc14742

Aliases

arxiv: 1310.1998 · arxiv_version: 1310.1998v2 · doi: 10.48550/arxiv.1310.1998 · pith_short_12: 3LFT3E6JVSNE · pith_short_16: 3LFT3E6JVSNEIU6D · pith_short_8: 3LFT3E6J

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/3LFT3E6JVSNEIU6DIQQCBQGFSW \
  | 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: dacb3d93c9ac9a4453c3442020c0c595bb7f0ab3e3770924f7ca1cc56dc14742

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e64eef220ce2fdd31cf6c6a8a604723e825f9a30abf9ff1925f8381cb8cf8c72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-08T04:12:41Z",
    "title_canon_sha256": "59cd9ea4870b9871ef025bd29745993fc9427aaf88e4e829fc71f0e421a8d939"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1998",
    "kind": "arxiv",
    "version": 2
  }
}