Pith Number

pith:IKMTDNKC

pith:2012:IKMTDNKCM5C4PFVH3BFXDLYYJK

not attested not anchored not stored refs pending

Coordinate sum and difference sets of $d$-dimensional modular hyperbolas

Amanda Bower, Ron Evans, Steven J. Miller, Victor Luo

arxiv:1212.2930 v1 · 2012-12-12 · 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{IKMTDNKCM5C4PFVH3BFXDLYYJK}

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	2026-05-18T03:38:34.905707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

429931b5426745c796a7d84b71af184a89d46ed11252c9b764236a067e7a8b7c

Aliases

arxiv: 1212.2930 · arxiv_version: 1212.2930v1 · doi: 10.48550/arxiv.1212.2930 · pith_short_12: IKMTDNKCM5C4 · pith_short_16: IKMTDNKCM5C4PFVH · pith_short_8: IKMTDNKC

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/IKMTDNKCM5C4PFVH3BFXDLYYJK \
  | 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: 429931b5426745c796a7d84b71af184a89d46ed11252c9b764236a067e7a8b7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f71adb459971c53c522305f2d11637c64dd4c23c173e6fde9f39cea646370ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-12T18:57:24Z",
    "title_canon_sha256": "cbf29f7130f06d58ebca37ec653c21158acda71a691fa0dbacd04450e3c5d7b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2930",
    "kind": "arxiv",
    "version": 1
  }
}