Pith Number

pith:RTX3KWAW

pith:2017:RTX3KWAWKMUBPIARWS22SRDBMC

not attested not anchored not stored refs pending

Milnor-Orr invariants from the Kontsevich invariant

Takefumi Nosaka

arxiv:1712.02060 v2 · 2017-12-06 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RTX3KWAWKMUBPIARWS22SRDBMC}

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	2026-05-18T00:26:14.247068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cefb55816532817a011b4b5a9446160839de85c59e55fe0268e39b94554fc27

Aliases

arxiv: 1712.02060 · arxiv_version: 1712.02060v2 · doi: 10.48550/arxiv.1712.02060 · pith_short_12: RTX3KWAWKMUB · pith_short_16: RTX3KWAWKMUBPIAR · pith_short_8: RTX3KWAW

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/RTX3KWAWKMUBPIARWS22SRDBMC \
  | 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: 8cefb55816532817a011b4b5a9446160839de85c59e55fe0268e39b94554fc27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e81224d82dddf3363e20f84b647c6dcc996b60620eed779a43cadd1339b36ac0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-12-06T07:17:03Z",
    "title_canon_sha256": "7cd11d5a7315f3e46a07f33dab2aca7e25162c0fd5aba31b1f77ef324674cef7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02060",
    "kind": "arxiv",
    "version": 2
  }
}