Pith Number

pith:TNM5MDSA

pith:2011:TNM5MDSA7MS4D54OP56GBMAD34

not attested not anchored not stored refs pending

An asymptotic formula for representations of integers by indefinite hermitian forms

Emilio A. Lauret

arxiv:1109.6697 v2 · 2011-09-30 · 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{TNM5MDSA7MS4D54OP56GBMAD34}

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	2026-05-18T03:03:32.897877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b59d60e40fb25c1f78e7f7c60b003df39716956759146c623a025282393915c

Aliases

arxiv: 1109.6697 · arxiv_version: 1109.6697v2 · doi: 10.48550/arxiv.1109.6697 · pith_short_12: TNM5MDSA7MS4 · pith_short_16: TNM5MDSA7MS4D54O · pith_short_8: TNM5MDSA

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/TNM5MDSA7MS4D54OP56GBMAD34 \
  | 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: 9b59d60e40fb25c1f78e7f7c60b003df39716956759146c623a025282393915c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1f9b9325e69e6af0307e0a59a8222500f8338a499c2412cb4bbea80f47a036b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-30T00:34:58Z",
    "title_canon_sha256": "d83ad900f768612b53cfbe129150b5a60ec9b7cf72b1d4fcbe21cf08b52e01a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6697",
    "kind": "arxiv",
    "version": 2
  }
}