Pith Number

pith:EZ74N2AH

pith:2016:EZ74N2AH7RIM25B4V42QL23XCR

not attested not anchored not stored refs pending

Twin Primes Via Exceptional Characters

Henryk Iwaniec, John B. Friedlander

arxiv:1607.03261 v1 · 2016-07-12 · 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{EZ74N2AH7RIM25B4V42QL23XCR}

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	2026-05-18T01:11:09.421940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

267fc6e807fc50cd743caf3505eb77146cc5106cf8bc4ad1c4926fd0e6a4a474

Aliases

arxiv: 1607.03261 · arxiv_version: 1607.03261v1 · doi: 10.48550/arxiv.1607.03261 · pith_short_12: EZ74N2AH7RIM · pith_short_16: EZ74N2AH7RIM25B4 · pith_short_8: EZ74N2AH

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/EZ74N2AH7RIM25B4V42QL23XCR \
  | 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: 267fc6e807fc50cd743caf3505eb77146cc5106cf8bc4ad1c4926fd0e6a4a474

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec3227b287f7fc2e6e5e99b28f7bcd64a87e0944c489d9dff05aaf700cbd67f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-12T08:47:26Z",
    "title_canon_sha256": "743a710fbe9c535dc686b9c01563fd14fe5849b9bc57c87d194f1110394fc6f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03261",
    "kind": "arxiv",
    "version": 1
  }
}