Pith Number

pith:AUQ6HOO2

pith:2013:AUQ6HOO2TQJP4MXLGPSW3XK6AJ

not attested not anchored not stored refs pending

Extensions of Stern's congruence for Euler numbers

Long Li, Zhi-Hong Sun

arxiv:1307.3902 v1 · 2013-07-15 · 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{AUQ6HOO2TQJP4MXLGPSW3XK6AJ}

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	2026-05-18T03:18:27.492502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0521e3b9da9c12fe32eb33e56ddd5e025c3cdcb805191ccec5e4301efe398ccb

Aliases

arxiv: 1307.3902 · arxiv_version: 1307.3902v1 · doi: 10.48550/arxiv.1307.3902 · pith_short_12: AUQ6HOO2TQJP · pith_short_16: AUQ6HOO2TQJP4MXL · pith_short_8: AUQ6HOO2

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/AUQ6HOO2TQJP4MXLGPSW3XK6AJ \
  | 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: 0521e3b9da9c12fe32eb33e56ddd5e025c3cdcb805191ccec5e4301efe398ccb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "487656c4a666fd4193a20e977982a40da6b02440983658fd76293f001f4202ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-15T11:46:35Z",
    "title_canon_sha256": "e591e09ca9bc55696639dbd6b42149efad44df19cc3e5708adfc0e37ae9b9dd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3902",
    "kind": "arxiv",
    "version": 1
  }
}