Pith Number

pith:6KFPXEBM

pith:2017:6KFPXEBMMI47ENJDA4UGVKDLKW

not attested not anchored not stored refs pending

Composition problems for braids: Membership, Identity and Freeness

Igor Potapov, Sang-Ki Ko

arxiv:1707.08389 v1 · 2017-07-26 · cs.CC · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6KFPXEBMMI47ENJDA4UGVKDLKW}

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	2026-05-18T00:39:24.334725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f28afb902c6239f2352307286aa86b55a0fb571140238e24d17a157bc824c965

Aliases

arxiv: 1707.08389 · arxiv_version: 1707.08389v1 · doi: 10.48550/arxiv.1707.08389 · pith_short_12: 6KFPXEBMMI47 · pith_short_16: 6KFPXEBMMI47ENJD · pith_short_8: 6KFPXEBM

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/6KFPXEBMMI47ENJDA4UGVKDLKW \
  | 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: f28afb902c6239f2352307286aa86b55a0fb571140238e24d17a157bc824c965

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0af68afc785f993bcabdacc04d309b6eeccaec46edef5f0d81730f403227b74c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2017-07-26T11:49:46Z",
    "title_canon_sha256": "a897e024d0c6c681af24d28539b49ab7262e6f200454dd8a06e52144eb36a694"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08389",
    "kind": "arxiv",
    "version": 1
  }
}