Pith Number

pith:LYELPEQX

pith:2016:LYELPEQXGITX25LMUJL5JZMIKU

not attested not anchored not stored refs pending

Quasi right-veering braids and non-loose links

Keiko Kawamuro, Tetsuya Ito

arxiv:1601.07084 v4 · 2016-01-26 · 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{LYELPEQXGITX25LMUJL5JZMIKU}

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	2026-05-18T00:10:57.386621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e08b7921732277d756ca257d4e588552929895c5962d5c9f7dd715b73565dd9

Aliases

arxiv: 1601.07084 · arxiv_version: 1601.07084v4 · doi: 10.48550/arxiv.1601.07084 · pith_short_12: LYELPEQXGITX · pith_short_16: LYELPEQXGITX25LM · pith_short_8: LYELPEQX

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/LYELPEQXGITX25LMUJL5JZMIKU \
  | 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: 5e08b7921732277d756ca257d4e588552929895c5962d5c9f7dd715b73565dd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5681fe79755d5406a9684c23afb02fc3968397140480521429d0bb48d6239c52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-01-26T16:26:54Z",
    "title_canon_sha256": "e47e339de8c5853608945385dedc852667da301d62b95b82dc2f4a15e40623fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07084",
    "kind": "arxiv",
    "version": 4
  }
}