Pith Number

pith:UBNEGL2M

pith:2011:UBNEGL2MUSEYIOMXXXBZKET5YX

not attested not anchored not stored refs pending

Unknotting and Ascending Numbers of Knots and their Families

Slavik Jablan

arxiv:1107.2110 v1 · 2011-07-10 · 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{UBNEGL2MUSEYIOMXXXBZKET5YX}

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	2026-05-18T04:18:32.877459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a05a432f4ca489843997bdc395127dc5c6dce295dd948ce9ad1e3f724298fff1

Aliases

arxiv: 1107.2110 · arxiv_version: 1107.2110v1 · doi: 10.48550/arxiv.1107.2110 · pith_short_12: UBNEGL2MUSEY · pith_short_16: UBNEGL2MUSEYIOMX · pith_short_8: UBNEGL2M

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/UBNEGL2MUSEYIOMXXXBZKET5YX \
  | 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: a05a432f4ca489843997bdc395127dc5c6dce295dd948ce9ad1e3f724298fff1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9babf55ea684ede1d69231d5a4d4b0e25a649570463eb00dd4cbff3d02477c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-07-10T20:16:32Z",
    "title_canon_sha256": "5ef7af608abcf108ced195b8ea66404d98d2439d77e7ee7728635b868443516b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2110",
    "kind": "arxiv",
    "version": 1
  }
}