Pith Number

pith:JRKUW7O2

pith:2012:JRKUW7O2RRWY6UQGXFENHWSMH2

not attested not anchored not stored refs pending

Minor arcs for Goldbach's problem

H. A. Helfgott

arxiv:1205.5252 v4 · 2012-05-23 · 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{JRKUW7O2RRWY6UQGXFENHWSMH2}

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

An Intuitionistic Glance at Primes

Receipt and verification

First computed	2026-05-18T03:03:44.828628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c554b7dda8c6d8f5206b948d3da4c3e84096634ab86dc760647cc2e9c1fd286

Aliases

arxiv: 1205.5252 · arxiv_version: 1205.5252v4 · doi: 10.48550/arxiv.1205.5252 · pith_short_12: JRKUW7O2RRWY · pith_short_16: JRKUW7O2RRWY6UQG · pith_short_8: JRKUW7O2

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/JRKUW7O2RRWY6UQGXFENHWSMH2 \
  | 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: 4c554b7dda8c6d8f5206b948d3da4c3e84096634ab86dc760647cc2e9c1fd286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9eeaf80f1a0cbd55ab877f226cec7c9d64e611621490d63f225a66f577b98d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-23T19:09:00Z",
    "title_canon_sha256": "353f7fd8bed8bad03c1275ddf8e8ed3ad9e492490b908d3388adb9cf3553e6f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5252",
    "kind": "arxiv",
    "version": 4
  }
}