Pith Number

pith:MGYFY3TW

pith:2009:MGYFY3TWASW5EMT77NRWN2UMRF

not attested not anchored not stored refs pending

Prime Factors of Dynamical Sequences

Andrew Granville, Xander Faber

arxiv:0903.1344 v2 · 2009-03-07 · 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{MGYFY3TWASW5EMT77NRWN2UMRF}

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	2026-05-18T04:07:41.961059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61b05c6e7604add2327ffb6366ea8c897ec7491e9af2aa5a9f893cda9f624316

Aliases

arxiv: 0903.1344 · arxiv_version: 0903.1344v2 · doi: 10.48550/arxiv.0903.1344 · pith_short_12: MGYFY3TWASW5 · pith_short_16: MGYFY3TWASW5EMT7 · pith_short_8: MGYFY3TW

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/MGYFY3TWASW5EMT77NRWN2UMRF \
  | 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: 61b05c6e7604add2327ffb6366ea8c897ec7491e9af2aa5a9f893cda9f624316

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85ef520ea867a9062755d7796448c6644eb34b2bac6e2241f0b9b0bab9b971f1",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-03-07T12:52:56Z",
    "title_canon_sha256": "a43017db738efa709f1425078932be2454b0ef6ad1410008d5fbe0437ca57a0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1344",
    "kind": "arxiv",
    "version": 2
  }
}