Pith Number

pith:TBCXN4VE

pith:2007:TBCXN4VEWDKDRNLJYHXM5UELC5

not attested not anchored not stored refs pending

On primes in arithmetic progression having a prescribed primitive root. II

Pieter Moree

arxiv:0707.3062 v1 · 2007-07-20 · 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{TBCXN4VEWDKDRNLJYHXM5UELC5}

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	2026-05-18T03:50:00.240292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

984576f2a4b0d438b569c1eeced08b17480f60895682f91d73cc07d312be3f1c

Aliases

arxiv: 0707.3062 · arxiv_version: 0707.3062v1 · doi: 10.48550/arxiv.0707.3062 · pith_short_12: TBCXN4VEWDKD · pith_short_16: TBCXN4VEWDKDRNLJ · pith_short_8: TBCXN4VE

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/TBCXN4VEWDKDRNLJYHXM5UELC5 \
  | 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: 984576f2a4b0d438b569c1eeced08b17480f60895682f91d73cc07d312be3f1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6605e5233da0813d761e39b60720da19fd803cc0dd41f28f1cbe55eda5454c43",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-07-20T12:39:43Z",
    "title_canon_sha256": "a443e26ccea74a17c312f9b5496b292f6f9d93fe171c9f8fe2e5270dfbdac363"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.3062",
    "kind": "arxiv",
    "version": 1
  }
}