Pith Number

pith:TB4LZNEX

pith:2007:TB4LZNEXPIAGPZWUQDQXD2YPEG

not attested not anchored not stored refs pending

Primitive Divisors in Arithmetic Dynamics

Joseph H. Silverman, Patrick Ingram

arxiv:0707.2505 v2 · 2007-07-17 · math.NT · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TB4LZNEXPIAGPZWUQDQXD2YPEG}

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	2026-05-18T02:16:29.323896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9878bcb4977a0067e6d480e171eb0f2185c538aa29f3f63c41bb233aaaf8b472

Aliases

arxiv: 0707.2505 · arxiv_version: 0707.2505v2 · doi: 10.48550/arxiv.0707.2505 · pith_short_12: TB4LZNEXPIAG · pith_short_16: TB4LZNEXPIAGPZWU · pith_short_8: TB4LZNEX

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/TB4LZNEXPIAGPZWUQDQXD2YPEG \
  | 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: 9878bcb4977a0067e6d480e171eb0f2185c538aa29f3f63c41bb233aaaf8b472

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75522aa4ac3874d15955ae20793cb1893c8d449e29b2a30f84fbee0356df5496",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-07-17T12:47:12Z",
    "title_canon_sha256": "6d0c746bcea6e7113cf10bd37ea9ff433b0b7a8ca9c8ae47dd5519c308407252"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.2505",
    "kind": "arxiv",
    "version": 2
  }
}