Pith Number

pith:VXMI3VQU

pith:2007:VXMI3VQUZM3W3SERA2PN334X46

not attested not anchored not stored refs pending

Chen's double sieve, Goldbach's conjecture and the twin prime problem, 2

Jie Wu (IECN)

arxiv:0709.3764 v1 · 2007-09-24 · 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{VXMI3VQUZM3W3SERA2PN334X46}

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	2026-05-18T02:16:11.043617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

add88dd614cb376dc891069eddef97e79ed3839356c4d7334e11812d7710fe30

Aliases

arxiv: 0709.3764 · arxiv_version: 0709.3764v1 · doi: 10.48550/arxiv.0709.3764 · pith_short_12: VXMI3VQUZM3W · pith_short_16: VXMI3VQUZM3W3SER · pith_short_8: VXMI3VQU

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/VXMI3VQUZM3W3SERA2PN334X46 \
  | 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: add88dd614cb376dc891069eddef97e79ed3839356c4d7334e11812d7710fe30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14be53164e0f9a7d16c847f80174e6541c231a879ef13861ef00fe64c1391211",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-09-24T13:37:32Z",
    "title_canon_sha256": "b0ea4950e7a8c4e84bb650dcd578c668c3f87d82943b1abb198e50a5d5de0572"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3764",
    "kind": "arxiv",
    "version": 1
  }
}