Pith Number

pith:XACN23QA

pith:2017:XACN23QAM26CEBECJ6EF7YTAVE

not attested not anchored not stored refs pending

An unknotting index for virtual knots

A. Kawauchi, K. Kaur, M. Prabhakar, S. Kamada

arxiv:1709.00817 v1 · 2017-09-04 · 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{XACN23QAM26CEBECJ6EF7YTAVE}

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	2026-05-18T00:36:05.051573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b804dd6e0066bc2204824f885fe260a93032cfea2b4ad3eea1bdd4a5ee330523

Aliases

arxiv: 1709.00817 · arxiv_version: 1709.00817v1 · doi: 10.48550/arxiv.1709.00817 · pith_short_12: XACN23QAM26C · pith_short_16: XACN23QAM26CEBEC · pith_short_8: XACN23QA

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/XACN23QAM26CEBECJ6EF7YTAVE \
  | 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: b804dd6e0066bc2204824f885fe260a93032cfea2b4ad3eea1bdd4a5ee330523

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "065c9684cc7e1cc26eb7a41fcec2d949dbf2cc4b6c6bdac56f8f8b96b44eeebc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-09-04T05:52:04Z",
    "title_canon_sha256": "29579a7b3705041b8e673ac4fb5551348492a1c96012b1a5e8848846ea29e874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00817",
    "kind": "arxiv",
    "version": 1
  }
}