Pith Number

pith:T6XVZUQR

pith:2018:T6XVZUQR6J7MUVRGLGT5JHUPIG

not attested not anchored not stored refs pending

Braid group and leveling of a knot

Arim Seo, Sangbum Cho, Yuya Koda

arxiv:1812.11531 v1 · 2018-12-30 · 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{T6XVZUQR6J7MUVRGLGT5JHUPIG}

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	2026-05-17T23:57:11.719046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9faf5cd211f27eca562659a7d49e8f419ef59f8b6d3faa6fe8e84a700665264b

Aliases

arxiv: 1812.11531 · arxiv_version: 1812.11531v1 · doi: 10.48550/arxiv.1812.11531 · pith_short_12: T6XVZUQR6J7M · pith_short_16: T6XVZUQR6J7MUVRG · pith_short_8: T6XVZUQR

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/T6XVZUQR6J7MUVRGLGT5JHUPIG \
  | 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: 9faf5cd211f27eca562659a7d49e8f419ef59f8b6d3faa6fe8e84a700665264b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cc0190a0bb76788b2df49fc7e24382bd2c5d9760b30f90d54d17ea5917bdcbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-12-30T13:40:35Z",
    "title_canon_sha256": "265a6103203fb07de5de5f10fa745f107473e9ce34266d2fb36e30db7613073e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11531",
    "kind": "arxiv",
    "version": 1
  }
}