Pith Number

pith:2TFFGEWG

pith:2016:2TFFGEWGXF7LI3R6CM73ZJVQ54

not attested not anchored not stored refs pending

Noncrossing partitions for periodic braids

Eon-Kyung Lee, Sang-Jin Lee

arxiv:1608.05879 v2 · 2016-08-21 · 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{2TFFGEWGXF7LI3R6CM73ZJVQ54}

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	2026-05-18T00:45:04.905212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4ca5312c6b97eb46e3e133fbca6b0ef1755d412f10b61e870f4f515cd597683

Aliases

arxiv: 1608.05879 · arxiv_version: 1608.05879v2 · doi: 10.48550/arxiv.1608.05879 · pith_short_12: 2TFFGEWGXF7L · pith_short_16: 2TFFGEWGXF7LI3R6 · pith_short_8: 2TFFGEWG

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/2TFFGEWGXF7LI3R6CM73ZJVQ54 \
  | 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: d4ca5312c6b97eb46e3e133fbca6b0ef1755d412f10b61e870f4f515cd597683

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d17afe646f44fd04c6dd1a60184bd1d17a78ad634fac6dfaeb27b0428ce6e49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-08-21T00:08:50Z",
    "title_canon_sha256": "f4aefdf7478dc4debf974899d6dfc732f76156f70e3da84f1d6b98d9424a1f41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05879",
    "kind": "arxiv",
    "version": 2
  }
}