Pith Number

pith:IH2FTGG5

pith:2002:IH2FTGG5EM4UYF5TP7ES535GHO

not attested not anchored not stored refs pending

Lectures on sieves

D. R. Heath-Brown

arxiv:math/0209360 v1 · 2002-09-25 · 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{IH2FTGG5EM4UYF5TP7ES535GHO}

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.

Cited by

1 paper in Pith

On the level of distribution of Goldbach primes and its applications

Receipt and verification

First computed	2026-07-04T14:36:29.065140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41f45998dd23394c17b37fc92eefa63ba83b3e0990424d5916100b439bba9852

Aliases

arxiv: math/0209360 · arxiv_version: math/0209360v1 · doi: 10.48550/arxiv.math/0209360 · pith_short_12: IH2FTGG5EM4U · pith_short_16: IH2FTGG5EM4UYF5T · pith_short_8: IH2FTGG5

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/IH2FTGG5EM4UYF5TP7ES535GHO \
  | 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: 41f45998dd23394c17b37fc92eefa63ba83b3e0990424d5916100b439bba9852

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a4eaecc021777c2b2f9cbd198e8bbe870bb0c43b746bdd2d96bbfb6511f797b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2002-09-25T22:49:28Z",
    "title_canon_sha256": "9568eef414ec14eb3edd5d11b51cda35bec015b40ebb148f17087ce860abff0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0209360",
    "kind": "arxiv",
    "version": 1
  }
}