Pith Number

pith:T42HOXA5

pith:2021:T42HOXA5IMXZT564TCVRJNEAJD

not attested not anchored not stored refs pending

Quadratic forms in 8 prime variables

Ben Green

arxiv:2108.10401 v1 · 2021-08-23 · math.NT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T42HOXA5IMXZT564TCVRJNEAJD}

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

Anisotropic quadratic equations in three variables

Receipt and verification

First computed	2026-07-05T03:08:09.433194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f34775c1d432f99f7dc98ab14b48048cc7d8246ff6285cbd2dddebd4c5d492c

Aliases

arxiv: 2108.10401 · arxiv_version: 2108.10401v1 · doi: 10.48550/arxiv.2108.10401 · pith_short_12: T42HOXA5IMXZ · pith_short_16: T42HOXA5IMXZT564 · pith_short_8: T42HOXA5

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/T42HOXA5IMXZT564TCVRJNEAJD \
  | 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: 9f34775c1d432f99f7dc98ab14b48048cc7d8246ff6285cbd2dddebd4c5d492c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37affda8c9dddd4cfed4e69ea06bddf2a0665c20eac161b42a42ae0fcefd781a",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-08-23T20:49:55Z",
    "title_canon_sha256": "2a9efb1ca5d3737c80d616f0a0151babed8f81566a7c0df1fa8f41d0db99d0e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.10401",
    "kind": "arxiv",
    "version": 1
  }
}