Pith Number

pith:R27VRT47

pith:2017:R27VRT47X3DFQXXMR267EWBEKX

not attested not anchored not stored refs pending

On generalizations of $p$-sets and their applications

Heng Zhou, Zhiqiang Xu

arxiv:1706.08023 v1 · 2017-06-25 · math.NT · cs.CC · cs.IT · math.IT · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R27VRT47X3DFQXXMR267EWBEKX}

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	2026-05-18T00:41:43.847243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ebf58cf9fbec6585eec8ebdf2582455d92246f67952c2c6951ca6da1d0f7320

Aliases

arxiv: 1706.08023 · arxiv_version: 1706.08023v1 · doi: 10.48550/arxiv.1706.08023 · pith_short_12: R27VRT47X3DF · pith_short_16: R27VRT47X3DFQXXM · pith_short_8: R27VRT47

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/R27VRT47X3DFQXXMR267EWBEKX \
  | 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: 8ebf58cf9fbec6585eec8ebdf2582455d92246f67952c2c6951ca6da1d0f7320

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0a2c717368d4320050696cd5cc021ea515e1c0b1c769e51e40ce7638763885f",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.IT",
      "math.IT",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-25T02:03:35Z",
    "title_canon_sha256": "3865785ebeb09338764adcce4c54357ff78015224cc0063afb4f624408890dac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08023",
    "kind": "arxiv",
    "version": 1
  }
}