Pith Number

pith:YGOSG5D7

pith:2014:YGOSG5D7Q5BAI7RNAUUND25Y5Y

not attested not anchored not stored refs pending

Finite Type Invariants of w-Knotted Objects I: w-Knots and the Alexander Polynomial

Dror Bar-Natan, Zsuzsanna Dancso

arxiv:1405.1956 v4 · 2014-05-08 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGOSG5D7Q5BAI7RNAUUND25Y5Y}

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	2026-05-18T01:15:47.267326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c19d23747f8742047e2d0528d1ebb8ee2067d97cb254b1785d81aabb4efa5b22

Aliases

arxiv: 1405.1956 · arxiv_version: 1405.1956v4 · doi: 10.48550/arxiv.1405.1956 · pith_short_12: YGOSG5D7Q5BA · pith_short_16: YGOSG5D7Q5BAI7RN · pith_short_8: YGOSG5D7

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/YGOSG5D7Q5BAI7RNAUUND25Y5Y \
  | 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: c19d23747f8742047e2d0528d1ebb8ee2067d97cb254b1785d81aabb4efa5b22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b155e3d6e21d5b83cdd8b81689a2fe0fe4b23e28acf4167f76f620c75ffcd8f2",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-05-08T15:03:30Z",
    "title_canon_sha256": "84182488f87ac361a4b233753bc4572ece7c0958b518727a423143009827d0c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1956",
    "kind": "arxiv",
    "version": 4
  }
}