Pith Number

pith:ZSE5EELD

pith:2008:ZSE5EELD3GC6SLAO5QXLY2ZKV3

not attested not anchored not stored refs pending

Zeros of p-adic forms

D.R. Heath-Brown

arxiv:0805.0534 v2 · 2008-05-05 · 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{ZSE5EELD3GC6SLAO5QXLY2ZKV3}

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	2026-05-18T02:58:11.560277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc89d21163d985e92c0eec2ebc6b2aaef81fd2876b2beed0b497b54947915e80

Aliases

arxiv: 0805.0534 · arxiv_version: 0805.0534v2 · doi: 10.48550/arxiv.0805.0534 · pith_short_12: ZSE5EELD3GC6 · pith_short_16: ZSE5EELD3GC6SLAO · pith_short_8: ZSE5EELD

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/ZSE5EELD3GC6SLAO5QXLY2ZKV3 \
  | 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: cc89d21163d985e92c0eec2ebc6b2aaef81fd2876b2beed0b497b54947915e80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c49216fde4dd7d4452970b1a6636e2cac3bf1e3a81d05936640d2c3deadb92b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-05-05T13:55:51Z",
    "title_canon_sha256": "2a2cff4d6ee9985776a1c280124c5d4158402c6e3e00062add3198b0e7088656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.0534",
    "kind": "arxiv",
    "version": 2
  }
}