Pith Number

pith:OF5KBHWX

pith:2017:OF5KBHWXHYUB2LCL3YZ77CUOSA

not attested not anchored not stored refs pending

The Tu--Deng Conjecture holds almost surely

Lukas Spiegelhofer, Michael Wallner

arxiv:1707.07945 v2 · 2017-07-25 · math.CO · cs.CR · 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{OF5KBHWXHYUB2LCL3YZ77CUOSA}

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	2026-05-18T00:11:00.495686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

717aa09ed73e281d2c4bde33ff8a8e900529abc3a39f8d4b4a27ead08ea293ef

Aliases

arxiv: 1707.07945 · arxiv_version: 1707.07945v2 · doi: 10.48550/arxiv.1707.07945 · pith_short_12: OF5KBHWXHYUB · pith_short_16: OF5KBHWXHYUB2LCL · pith_short_8: OF5KBHWX

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/OF5KBHWXHYUB2LCL3YZ77CUOSA \
  | 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: 717aa09ed73e281d2c4bde33ff8a8e900529abc3a39f8d4b4a27ead08ea293ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c50c82b9e5b7e9048dc2439209f95a63fa4b303ece6bfa097d4ce26ba72321c4",
    "cross_cats_sorted": [
      "cs.CR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-25T12:12:35Z",
    "title_canon_sha256": "4100f6f20d8aa208ac614a5189a4855e9f085418e8eb73db5a2b14a7f63ff3fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07945",
    "kind": "arxiv",
    "version": 2
  }
}