Pith Number

pith:AX6CCILY

pith:2016:AX6CCILY2MROMMWIIEBAND73JD

not attested not anchored not stored refs pending

Mock characters and the Kronecker symbol

Jean-Paul Allouche, Leo Goldmakher

arxiv:1608.03957 v2 · 2016-08-13 · 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{AX6CCILY2MROMMWIIEBAND73JD}

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	2026-05-18T00:53:20.737619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05fc212178d322e632c84102068ffb48dfdd56b21415df3e7e0ce716b80725e6

Aliases

arxiv: 1608.03957 · arxiv_version: 1608.03957v2 · doi: 10.48550/arxiv.1608.03957 · pith_short_12: AX6CCILY2MRO · pith_short_16: AX6CCILY2MROMMWI · pith_short_8: AX6CCILY

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/AX6CCILY2MROMMWIIEBAND73JD \
  | 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: 05fc212178d322e632c84102068ffb48dfdd56b21415df3e7e0ce716b80725e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90971efd0b00ba03278306a05fe3245c95fe9474002f5732d49f604c31881cf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-13T09:04:01Z",
    "title_canon_sha256": "a818f38d62c3458e9abac50ea5077a5a186a5a9d838cf71579be4387b9ed919e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03957",
    "kind": "arxiv",
    "version": 2
  }
}