Pith Number

pith:Y7AVHIQQ

pith:2006:Y7AVHIQQFOTNKSWDPQ54QV6NYD

not attested not anchored not stored refs pending

A kind of dynamic model of prime numbers

Huang Yan, Wang Liang

arxiv:math/0601517 v1 · 2006-01-21 · math.DS · 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{Y7AVHIQQFOTNKSWDPQ54QV6NYD}

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	2026-07-04T14:52:50.446101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7c153a2102ba6d54ac37c3bc857cdc0c4d901417521b674d34bd1e46a5f9ddd

Aliases

arxiv: math/0601517 · arxiv_version: math/0601517v1 · doi: 10.48550/arxiv.math/0601517 · pith_short_12: Y7AVHIQQFOTN · pith_short_16: Y7AVHIQQFOTNKSWD · pith_short_8: Y7AVHIQQ

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/Y7AVHIQQFOTNKSWDPQ54QV6NYD \
  | 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: c7c153a2102ba6d54ac37c3bc857cdc0c4d901417521b674d34bd1e46a5f9ddd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9951ce69bf22daf8504d54f225e459f3131161993b291846b3917239324a3e83",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-01-21T12:35:01Z",
    "title_canon_sha256": "3d110d28a377126e4b3e8c6b7659e27a09f105b96c066ccfb50f2fbaf213caa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601517",
    "kind": "arxiv",
    "version": 1
  }
}