Pith Number

pith:TREDDFJQ

pith:2016:TREDDFJQMM55FYFHISOGRQLTF5

not attested not anchored not stored refs pending

On products of disjoint blocks of arithmetic progressions and related equations

Maciej Ulas, Szabolcs Tengely

arxiv:1601.05032 v1 · 2016-01-19 · 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{TREDDFJQMM55FYFHISOGRQLTF5}

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	2026-05-18T01:22:31.373062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c48319530633bd2e0a7449c68c1732f447ddb7e13dc5d4bbe4bab3999d1c6b0

Aliases

arxiv: 1601.05032 · arxiv_version: 1601.05032v1 · doi: 10.48550/arxiv.1601.05032 · pith_short_12: TREDDFJQMM55 · pith_short_16: TREDDFJQMM55FYFH · pith_short_8: TREDDFJQ

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/TREDDFJQMM55FYFHISOGRQLTF5 \
  | 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: 9c48319530633bd2e0a7449c68c1732f447ddb7e13dc5d4bbe4bab3999d1c6b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a869dd839985e7f02de0db2722c450cd2b4bf1c7ee96f40dc46922b2c658d77f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-19T18:40:51Z",
    "title_canon_sha256": "e1e2bdb643d77b217852778ebfb470d82dabfe128261b655780e5d08cd536a66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05032",
    "kind": "arxiv",
    "version": 1
  }
}