Pith Number

pith:J3C4KJZ4

pith:2005:J3C4KJZ4HZNFMTVK5PNSCUWAZM

not attested not anchored not stored refs pending

On q-Euler numbers, q-Salie numbers and q-Carlitz numbers

Hao Pan, Zhi-Wei Sun

arxiv:math/0505548 v6 · 2005-05-25 · math.CO · 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{J3C4KJZ4HZNFMTVK5PNSCUWAZM}

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	2026-05-18T01:38:24.978370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ec5c5273c3e5a564eaaebdb2152c0cb1eabe83e9e4b818df2b8e03fce22200d

Aliases

arxiv: math/0505548 · arxiv_version: math/0505548v6 · doi: 10.48550/arxiv.math/0505548 · pith_short_12: J3C4KJZ4HZNF · pith_short_16: J3C4KJZ4HZNFMTVK · pith_short_8: J3C4KJZ4

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/J3C4KJZ4HZNFMTVK5PNSCUWAZM \
  | 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: 4ec5c5273c3e5a564eaaebdb2152c0cb1eabe83e9e4b818df2b8e03fce22200d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a585e62d3ecea71542ac4f531513f07ecac6023e9da633b104479edeecf7ff3d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-05-25T18:15:54Z",
    "title_canon_sha256": "2b55436ba4c06c0a4f3d087e5658f29fa4e6b31c25c60d81823475ffbd47bf9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505548",
    "kind": "arxiv",
    "version": 6
  }
}