Pith Number

pith:4FCK4HK2

pith:2012:4FCK4HK2BNA34D5A5ZP5VYVN3C

not attested not anchored not stored refs pending

Four Perspectives on Secondary Terms in the Davenport-Heilbronn Theorems

Frank Thorne

arxiv:1202.3965 v1 · 2012-02-17 · 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{4FCK4HK2BNA34D5A5ZP5VYVN3C}

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	2026-05-18T04:02:02.329837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e144ae1d5a0b41be0fa0ee5fdae2add88090296754d68876ef54779967e6c8d9

Aliases

arxiv: 1202.3965 · arxiv_version: 1202.3965v1 · doi: 10.48550/arxiv.1202.3965 · pith_short_12: 4FCK4HK2BNA3 · pith_short_16: 4FCK4HK2BNA34D5A · pith_short_8: 4FCK4HK2

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/4FCK4HK2BNA34D5A5ZP5VYVN3C \
  | 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: e144ae1d5a0b41be0fa0ee5fdae2add88090296754d68876ef54779967e6c8d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b111fd1902e6235f8e688de46e45fb7a03b6985deb782ab18e406f574eb31638",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-17T17:01:32Z",
    "title_canon_sha256": "a02475a020299f125c0cafe1a12cb92799aef581e6cccc7971e15c169871ddd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3965",
    "kind": "arxiv",
    "version": 1
  }
}