Pith Number

pith:WH5YXC7C

pith:2013:WH5YXC7CHSY3PKTDVBDAP6BKWH

not attested not anchored not stored refs pending

Self-reciprocal functions, powers of the Riemann zeta function and modular-type transformations

Atul Dixit, Victor H. Moll

arxiv:1312.1232 v1 · 2013-12-04 · math.NT · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WH5YXC7CHSY3PKTDVBDAP6BKWH}

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	2026-05-18T03:05:34.590427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1fb8b8be23cb1b7aa63a84607f82ab1d73e581b324d79972ffd2c6bd9a2109b

Aliases

arxiv: 1312.1232 · arxiv_version: 1312.1232v1 · doi: 10.48550/arxiv.1312.1232 · pith_short_12: WH5YXC7CHSY3 · pith_short_16: WH5YXC7CHSY3PKTD · pith_short_8: WH5YXC7C

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/WH5YXC7CHSY3PKTDVBDAP6BKWH \
  | 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: b1fb8b8be23cb1b7aa63a84607f82ab1d73e581b324d79972ffd2c6bd9a2109b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b3cb0334c3a1f5e84c9087422213dab6d10383e40909d2ec564eeda2fcca80d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-04T16:21:21Z",
    "title_canon_sha256": "c2f909db6eaad0e0555420473fa00bd7cdcdcd510d09cf759c6e4622c7d943b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1232",
    "kind": "arxiv",
    "version": 1
  }
}