Pith Number

pith:UPMFNGL5

pith:2019:UPMFNGL526KCTRCPWNBLWLH3GC

not attested not anchored not stored refs pending

PPT: New Low Complexity Deterministic Primality Tests Leveraging Explicit and Implicit Non-Residues. A Set of Three Companion Manuscripts

Alan T. Sherman, Andrew Henry, Dhananjay Phatak, Steven D. Houston

arxiv:1908.06964 v1 · 2019-08-20 · cs.CR · cs.CC · cs.DS · cs.SC · 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{UPMFNGL526KCTRCPWNBLWLH3GC}

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	2026-07-04T23:58:29.672093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3d856997dd79429c44fb342bb2cfb309c02094e3202cd37d637ab0026ce6015

Aliases

arxiv: 1908.06964 · arxiv_version: 1908.06964v1 · doi: 10.48550/arxiv.1908.06964 · pith_short_12: UPMFNGL526KC · pith_short_16: UPMFNGL526KCTRCP · pith_short_8: UPMFNGL5

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/UPMFNGL526KCTRCPWNBLWLH3GC \
  | 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: a3d856997dd79429c44fb342bb2cfb309c02094e3202cd37d637ab0026ce6015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c10e5a00f6d6dc4af735013257f94373bc67b19aa7d18ced0fd014f47ff5408",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DS",
      "cs.SC",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2019-08-20T16:48:15Z",
    "title_canon_sha256": "b301bc041a0066b0f39a6ba1be48b525f6aacbe7517b8e4b5d2fa8c58e7be149"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06964",
    "kind": "arxiv",
    "version": 1
  }
}