Pith Number

pith:Q7M37SPQ

pith:2013:Q7M37SPQIVZMW7LIEZOCKAHZV5

not attested not anchored not stored refs pending

A supercharacter approach to Heilbronn sums

Bob Lutz, Stephan Ramon Garcia

arxiv:1312.1034 v3 · 2013-12-04 · 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{Q7M37SPQIVZMW7LIEZOCKAHZV5}

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	2026-05-18T00:30:49.714167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87d9bfc9f04572cb7d68265c2500f9af7171bf4be72289b45a5104219b6004bf

Aliases

arxiv: 1312.1034 · arxiv_version: 1312.1034v3 · doi: 10.48550/arxiv.1312.1034 · pith_short_12: Q7M37SPQIVZM · pith_short_16: Q7M37SPQIVZMW7LI · pith_short_8: Q7M37SPQ

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/Q7M37SPQIVZMW7LIEZOCKAHZV5 \
  | 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: 87d9bfc9f04572cb7d68265c2500f9af7171bf4be72289b45a5104219b6004bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa5dcda80a1f91ad10b9e2c39ebf94c8174be8d76e79001e05604ee5bcbf23fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-04T06:08:28Z",
    "title_canon_sha256": "b0af40fe1de15adbed730f34630e2c431cbbb8cfd6e7b4393eba5deda637f8f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1034",
    "kind": "arxiv",
    "version": 3
  }
}