Pith Number

pith:XEOSJQUZ

pith:2013:XEOSJQUZB45TT4W5LB5XMYPMI4

not attested not anchored not stored refs pending

Congruences for sequences analogous to Euler numbers

Hai-Yan Wang, Zhi-Hong Sun

arxiv:1307.7370 v1 · 2013-07-28 · 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{XEOSJQUZB45TT4W5LB5XMYPMI4}

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	2026-05-18T03:17:23.470417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b91d24c2990f3b39f2dd587b7661ec47047be5acda0d4af5037a1a5981451622

Aliases

arxiv: 1307.7370 · arxiv_version: 1307.7370v1 · doi: 10.48550/arxiv.1307.7370 · pith_short_12: XEOSJQUZB45T · pith_short_16: XEOSJQUZB45TT4W5 · pith_short_8: XEOSJQUZ

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/XEOSJQUZB45TT4W5LB5XMYPMI4 \
  | 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: b91d24c2990f3b39f2dd587b7661ec47047be5acda0d4af5037a1a5981451622

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c50c339f85c739fb6c158aa9f99edffaf874b902c5a48956f48dd0c74963451",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-28T14:56:09Z",
    "title_canon_sha256": "e75a76c57b61db87bf969be7f7a34ccebb927d90e8d56b14dae5499417f113a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7370",
    "kind": "arxiv",
    "version": 1
  }
}