Pith Number

pith:EXAPS4YB

pith:2026:EXAPS4YBYEKZYMEKO4YWWEWCIB

not attested not anchored not stored refs pending

Multivariate writhe polynomial of multi-virtual knots

Zhiyun Cheng

arxiv:2606.22501 v1 · 2026-06-21 · 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{EXAPS4YBYEKZYMEKO4YWWEWCIB}

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	2026-06-23T02:13:40.225504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c0f97301c1159c308a77316b12c24056d7a4785eb3095af50cfb1366f9cf8f

Aliases

arxiv: 2606.22501 · arxiv_version: 2606.22501v1 · doi: 10.48550/arxiv.2606.22501 · pith_short_12: EXAPS4YBYEKZ · pith_short_16: EXAPS4YBYEKZYMEK · pith_short_8: EXAPS4YB

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/EXAPS4YBYEKZYMEKO4YWWEWCIB \
  | 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: 25c0f97301c1159c308a77316b12c24056d7a4785eb3095af50cfb1366f9cf8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0192875377db5368d297d56985480a074133f6c1fd83c5a9b6f614cba9adf5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-06-21T13:50:21Z",
    "title_canon_sha256": "359c65b01ee01bba7acdd6fb6b09af33c2bf89f30423e36da395cd690ccd3752"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22501",
    "kind": "arxiv",
    "version": 1
  }
}