Pith Number

pith:U2I3SYJC

pith:2016:U2I3SYJCPIYWQE4ZFZNAMKVK2B

not attested not anchored not stored refs pending

On the $P_1$ property of sequences of positive integers

Tigran Hakobyan

arxiv:1601.04886 v2 · 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{U2I3SYJCPIYWQE4ZFZNAMKVK2B}

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	2026-05-18T01:21:15.397663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a691b961227a316813992e5a062aaad04c9e16e4d974348eab53b39bfb9dcee0

Aliases

arxiv: 1601.04886 · arxiv_version: 1601.04886v2 · doi: 10.48550/arxiv.1601.04886 · pith_short_12: U2I3SYJCPIYW · pith_short_16: U2I3SYJCPIYWQE4Z · pith_short_8: U2I3SYJC

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/U2I3SYJCPIYWQE4ZFZNAMKVK2B \
  | 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: a691b961227a316813992e5a062aaad04c9e16e4d974348eab53b39bfb9dcee0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a7e2aa4c9b8c29327a8775d29a74ea3df7fd0084baf16449f3426337dcc22d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-19T12:12:21Z",
    "title_canon_sha256": "7fff72b58ed592395cdfe53c2f8f95a0128a1d084b3c2b030bf86bcdec8cc8c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04886",
    "kind": "arxiv",
    "version": 2
  }
}