Pith Number

pith:CVDWGXPC

pith:2019:CVDWGXPCYS2X5U63NX4BSEXSKC

not attested not anchored not stored refs pending

Twins almost prime under a Elliott-Halberstam's conjecture

Nathalie Debouzy

arxiv:1907.06393 v1 · 2019-07-15 · 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{CVDWGXPCYS2X5U63NX4BSEXSKC}

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	2026-05-17T23:40:37.762253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1547635de2c4b57ed3db6df81912f250b3e52e258f5e271eccfe6f4e4b218e09

Aliases

arxiv: 1907.06393 · arxiv_version: 1907.06393v1 · doi: 10.48550/arxiv.1907.06393 · pith_short_12: CVDWGXPCYS2X · pith_short_16: CVDWGXPCYS2X5U63 · pith_short_8: CVDWGXPC

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/CVDWGXPCYS2X5U63NX4BSEXSKC \
  | 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: 1547635de2c4b57ed3db6df81912f250b3e52e258f5e271eccfe6f4e4b218e09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55ec890bbc012eb152ca03ac5a08fa60d270d9531f03b794c2f46c599ec2be70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-15T09:42:34Z",
    "title_canon_sha256": "0560e6b70424f373d54b29b262036bd27cbb1c801fc9b173d89fc340da62fddb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06393",
    "kind": "arxiv",
    "version": 1
  }
}