Pith Number

pith:BZ3KTG4I

pith:2017:BZ3KTG4IBIULURXBHT6H4AGWFJ

not attested not anchored not stored refs pending

Mutation invariance for the zeroth coefficients of the colored HOMFLY polynomial

Tetsuya Ito

arxiv:1710.09969 v2 · 2017-10-27 · 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{BZ3KTG4IBIULURXBHT6H4AGWFJ}

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	2026-05-17T23:54:31.959835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e76a99b880a28ba46e13cfc7e00d62a77aeafa043f0597db82050e5af3edf62

Aliases

arxiv: 1710.09969 · arxiv_version: 1710.09969v2 · doi: 10.48550/arxiv.1710.09969 · pith_short_12: BZ3KTG4IBIUL · pith_short_16: BZ3KTG4IBIULURXB · pith_short_8: BZ3KTG4I

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/BZ3KTG4IBIULURXBHT6H4AGWFJ \
  | 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: 0e76a99b880a28ba46e13cfc7e00d62a77aeafa043f0597db82050e5af3edf62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fdb7f368e7fd8e74998cde3158ad54506878a7d07948b31ae0a8b088efdebae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-10-27T02:30:29Z",
    "title_canon_sha256": "29c5b8758dc8b3a5772ccc7f601b68c5920784896dab72276c28fdbb431a0276"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09969",
    "kind": "arxiv",
    "version": 2
  }
}