Pith Number

pith:YYSL5DDG

pith:2010:YYSL5DDGJJV33QEHFB7TZKG7YG

not attested not anchored not stored refs pending

Supercongruences motivated by e

Zhi-Wei Sun

arxiv:1011.3487 v8 · 2010-11-15 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYSL5DDGJJV33QEHFB7TZKG7YG}

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	2026-05-18T02:26:11.105102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c624be8c664a6bbdc087287f3ca8dfc1b9e3e919e3855608817c3fb0b93d600f

Aliases

arxiv: 1011.3487 · arxiv_version: 1011.3487v8 · doi: 10.48550/arxiv.1011.3487 · pith_short_12: YYSL5DDGJJV3 · pith_short_16: YYSL5DDGJJV33QEH · pith_short_8: YYSL5DDG

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/YYSL5DDGJJV33QEHFB7TZKG7YG \
  | 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: c624be8c664a6bbdc087287f3ca8dfc1b9e3e919e3855608817c3fb0b93d600f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc35221419b7352ac181ce79d82088de2ea5e36adcb035bceb3d1c6f50ffccff",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-11-15T19:59:35Z",
    "title_canon_sha256": "37492360756a04ef5680e044d6e607eb1fbecf7919a98958521c3e3aa7f7363a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3487",
    "kind": "arxiv",
    "version": 8
  }
}