Pith Number

pith:MVX46ANV

pith:2010:MVX46ANVQKZ5MHYF2O4LCTYLC7

not attested not anchored not stored refs pending

$m$-bigness in compatible systems

Paul-James White

arxiv:1007.0358 v2 · 2010-07-02 · 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{MVX46ANVQKZ5MHYF2O4LCTYLC7}

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	2026-05-18T04:38:50.375282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

656fcf01b582b3d61f05d3b8b14f0b17d41196432b60080400ef678c4ee61134

Aliases

arxiv: 1007.0358 · arxiv_version: 1007.0358v2 · doi: 10.48550/arxiv.1007.0358 · pith_short_12: MVX46ANVQKZ5 · pith_short_16: MVX46ANVQKZ5MHYF · pith_short_8: MVX46ANV

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/MVX46ANVQKZ5MHYF2O4LCTYLC7 \
  | 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: 656fcf01b582b3d61f05d3b8b14f0b17d41196432b60080400ef678c4ee61134

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2257d63d104e036748c63e0811ce3ebca6d24584e4d16779e00e756e77c34428",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-07-02T13:05:44Z",
    "title_canon_sha256": "265427a8bdf304f26038fab6705c70e32e096ac5eaeb657de3309ffd7e449a36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0358",
    "kind": "arxiv",
    "version": 2
  }
}