Pith Number

pith:G2SWHNM3

pith:2018:G2SWHNM3MJDUCHJWPPKFIX6BRK

not attested not anchored not stored refs pending

Machine-Assisted Proofs (ICM 2018 Panel)

Bjorn Poonen, Harald Helfgott, James Davenport, James Maynard, Lu\'is Cruz-Filipe, Pham Huu Tiep

arxiv:1809.08062 v1 · 2018-09-21 · math.HO · cs.SC · math.GR · 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{G2SWHNM3MJDUCHJWPPKFIX6BRK}

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	2026-05-18T00:05:10.450023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36a563b59b6247411d367bd4545fc18a9c36d14d45a465c4bec2b89e92fad12b

Aliases

arxiv: 1809.08062 · arxiv_version: 1809.08062v1 · doi: 10.48550/arxiv.1809.08062 · pith_short_12: G2SWHNM3MJDU · pith_short_16: G2SWHNM3MJDUCHJW · pith_short_8: G2SWHNM3

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/G2SWHNM3MJDUCHJWPPKFIX6BRK \
  | 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: 36a563b59b6247411d367bd4545fc18a9c36d14d45a465c4bec2b89e92fad12b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03972815c76a33b0e0b6bc8ba0e241b2ef82255278f3eb8a2633cbc1af353af2",
    "cross_cats_sorted": [
      "cs.SC",
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2018-09-21T12:33:22Z",
    "title_canon_sha256": "05d9f73eb6a86fc3c2c426921ca0385dc97c5d9f64e3a1e6131f2b5ef4cd29c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08062",
    "kind": "arxiv",
    "version": 1
  }
}