Pith Number

pith:QM3APYEO

pith:2017:QM3APYEOA4XUJF4TJB36JQWUQN

not attested not anchored not stored refs pending

The $abc$-Conjecture implies uniform bounds on dynamical Zsigmondy sets

Nicole Looper

arxiv:1711.01507 v1 · 2017-11-04 · 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{QM3APYEOA4XUJF4TJB36JQWUQN}

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	2026-05-18T00:31:17.614802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

833607e08e072f4497934877e4c2d4837b973d0435416cb4a337a53ef01c8b77

Aliases

arxiv: 1711.01507 · arxiv_version: 1711.01507v1 · doi: 10.48550/arxiv.1711.01507 · pith_short_12: QM3APYEOA4XU · pith_short_16: QM3APYEOA4XUJF4T · pith_short_8: QM3APYEO

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/QM3APYEOA4XUJF4TJB36JQWUQN \
  | 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: 833607e08e072f4497934877e4c2d4837b973d0435416cb4a337a53ef01c8b77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9bcf7f805886f7f66773cdd96e1e004d47fb4042c804c2651657bf7d2228c17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-04T23:17:14Z",
    "title_canon_sha256": "1d99c9c77f2d2a2105fe182648e84b96f971d283234705db8dcac63249fb1dcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01507",
    "kind": "arxiv",
    "version": 1
  }
}