Pith Number

pith:X6B2NFQS

pith:2009:X6B2NFQSMEU6V6OQRHJWFXJ5SY

not attested not anchored not stored refs pending

Open Conjectures on Congruences

Zhi-Wei Sun

arxiv:0911.5665 v59 · 2009-11-30 · 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{X6B2NFQSMEU6V6OQRHJWFXJ5SY}

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	2026-05-18T02:24:46.034326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf83a696126129eaf9d089d362dd3d9621bd0e79ff1d29ff33f57d6e4cd202d6

Aliases

arxiv: 0911.5665 · arxiv_version: 0911.5665v59 · doi: 10.48550/arxiv.0911.5665 · pith_short_12: X6B2NFQSMEU6 · pith_short_16: X6B2NFQSMEU6V6OQ · pith_short_8: X6B2NFQS

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/X6B2NFQSMEU6V6OQRHJWFXJ5SY \
  | 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: bf83a696126129eaf9d089d362dd3d9621bd0e79ff1d29ff33f57d6e4cd202d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "766de88c7c4a3f5a2d0e602e97801250f2645f50779aed268129985ad802cf9f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-11-30T19:57:02Z",
    "title_canon_sha256": "377518a157131d71dcc97f1525bd4d2b71f85015e46daa85b525cdcfb9cdd873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.5665",
    "kind": "arxiv",
    "version": 59
  }
}