Pith Number

pith:SN5ZB34V

pith:2016:SN5ZB34VRQYYQP6BBP6NDSPB4H

not attested not anchored not stored refs pending

The modulus of Whittaker functions

Hans Volkmer

arxiv:1608.04780 v1 · 2016-08-15 · math.CA · 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{SN5ZB34VRQYYQP6BBP6NDSPB4H}

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	2026-05-18T01:08:33.599582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

937b90ef958c31883fc10bfcd1c9e1e1decedcd1ec22b051a6a0cf18a835b57b

Aliases

arxiv: 1608.04780 · arxiv_version: 1608.04780v1 · doi: 10.48550/arxiv.1608.04780 · pith_short_12: SN5ZB34VRQYY · pith_short_16: SN5ZB34VRQYYQP6B · pith_short_8: SN5ZB34V

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/SN5ZB34VRQYYQP6BBP6NDSPB4H \
  | 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: 937b90ef958c31883fc10bfcd1c9e1e1decedcd1ec22b051a6a0cf18a835b57b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67c473a1abd832d38ab22cac9afdc3cfab098f20d5091d37f417d91a248bb8e4",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-08-15T01:55:51Z",
    "title_canon_sha256": "d6333374a9eb8b85bcd28196ebcc46a8837b688522fefbb8f29a107f192b997e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04780",
    "kind": "arxiv",
    "version": 1
  }
}