Pith Number

pith:U5OJCNGL

pith:2018:U5OJCNGLGZN3K5TWRC627ZEUJN

not attested not anchored not stored refs pending

Fujii's development on Chebyshev's conjecture

Dave Platt, Tim Trudgian

arxiv:1802.00089 v1 · 2018-01-31 · 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{U5OJCNGLGZN3K5TWRC627ZEUJN}

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	2026-05-18T00:24:36.836185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a75c9134cb365bb5767688bdafe4944b4a405d1f8668b4babde1d50a52f5662e

Aliases

arxiv: 1802.00089 · arxiv_version: 1802.00089v1 · doi: 10.48550/arxiv.1802.00089 · pith_short_12: U5OJCNGLGZN3 · pith_short_16: U5OJCNGLGZN3K5TW · pith_short_8: U5OJCNGL

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/U5OJCNGLGZN3K5TWRC627ZEUJN \
  | 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: a75c9134cb365bb5767688bdafe4944b4a405d1f8668b4babde1d50a52f5662e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64d341aae92610867ac9363abadd9db1b2826296efed5313183007ed203b85c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-31T22:42:59Z",
    "title_canon_sha256": "ac6bfead04c5477916d614938e4dc1593315ab2c5c3472998bf5147e60f0c014"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00089",
    "kind": "arxiv",
    "version": 1
  }
}