Pith Number

pith:6X2O2ZYL

pith:2014:6X2O2ZYL4AS65XOCGAHRGETT5V

not attested not anchored not stored refs pending

Super congruences involving Bernoulli and Euler polynomials

Zhi-Hong Sun

arxiv:1407.0636 v6 · 2014-07-02 · 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{6X2O2ZYL4AS65XOCGAHRGETT5V}

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	2026-05-18T02:46:24.148842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5f4ed670be025eeddc2300f131273ed71012d951e9dbd10ab7aaac61a969178

Aliases

arxiv: 1407.0636 · arxiv_version: 1407.0636v6 · doi: 10.48550/arxiv.1407.0636 · pith_short_12: 6X2O2ZYL4AS6 · pith_short_16: 6X2O2ZYL4AS65XOC · pith_short_8: 6X2O2ZYL

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/6X2O2ZYL4AS65XOCGAHRGETT5V \
  | 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: f5f4ed670be025eeddc2300f131273ed71012d951e9dbd10ab7aaac61a969178

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff7684e7378f0bbd5501f1f874e7d42691ed43d331571ce2ac1dbe2e9c284917",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-02T16:24:45Z",
    "title_canon_sha256": "5ac58660b6e1325bf3e0ec4f95465b8dd82b9f21683cb99576633a8287d9d992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0636",
    "kind": "arxiv",
    "version": 6
  }
}