Pith Number

pith:5ICBZY4H

pith:2015:5ICBZY4HIJK7NCIGYZGSLM4AHZ

not attested not anchored not stored refs pending

Monoid and group of pseudo braids

Hang Wang, Slavik Jablan, Valeriy G. Bardakov

arxiv:1509.08725 v1 · 2015-09-29 · 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{5ICBZY4HIJK7NCIGYZGSLM4AHZ}

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	2026-05-18T01:31:47.259408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea041ce3874255f68906c64d25b3803e66ac0569c32c93eb1f3efadbf3dbe263

Aliases

arxiv: 1509.08725 · arxiv_version: 1509.08725v1 · doi: 10.48550/arxiv.1509.08725 · pith_short_12: 5ICBZY4HIJK7 · pith_short_16: 5ICBZY4HIJK7NCIG · pith_short_8: 5ICBZY4H

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/5ICBZY4HIJK7NCIGYZGSLM4AHZ \
  | 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: ea041ce3874255f68906c64d25b3803e66ac0569c32c93eb1f3efadbf3dbe263

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91ff464fd411ee8e7702255f2892d2becfec1e473a88cfcc1a001f76ad337cb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-29T12:52:39Z",
    "title_canon_sha256": "84d03ac42934dd884c8b4a823faa6eb8227db176591057e469242b98bedbd507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08725",
    "kind": "arxiv",
    "version": 1
  }
}