Pith Number

pith:SPA6GDIW

pith:2014:SPA6GDIW7ZJH4WZBNNKAUJAVSK

not attested not anchored not stored refs pending

Improvements in Birch's theorem on forms in many variables

Sean Prendiville, T.D. Browning

arxiv:1402.4489 v1 · 2014-02-18 · 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{SPA6GDIW7ZJH4WZBNNKAUJAVSK}

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	2026-05-18T02:58:34.063574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93c1e30d16fe527e5b216b540a241592802b07269758939a2bda218154f52b21

Aliases

arxiv: 1402.4489 · arxiv_version: 1402.4489v1 · doi: 10.48550/arxiv.1402.4489 · pith_short_12: SPA6GDIW7ZJH · pith_short_16: SPA6GDIW7ZJH4WZB · pith_short_8: SPA6GDIW

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/SPA6GDIW7ZJH4WZBNNKAUJAVSK \
  | 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: 93c1e30d16fe527e5b216b540a241592802b07269758939a2bda218154f52b21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "616a152eccf1c5a3aa130aaa0d74959f2234d711075458f7d9b0fb30e732e4e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-02-18T21:03:41Z",
    "title_canon_sha256": "fe7ae5be391fe9b6968afb8ee60137ae0d52c66f02d4c3b6948345593de48d0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4489",
    "kind": "arxiv",
    "version": 1
  }
}