Pith Number

pith:JOYSWXZX

pith:2014:JOYSWXZX7OQRCUESK2K2UQA4GW

not attested not anchored not stored refs pending

Reversibility in the groups of PL^+(S^1) and PL(S^1)

Habib Marzougui, Khadija Ben Rejeb

arxiv:1407.7253 v2 · 2014-07-27 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOYSWXZX7OQRCUESK2K2UQA4GW}

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	2026-05-17T23:56:30.566980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bb12b5f37fba11150925695aa401c35ae6dcff3a4fb31ca33dd56407f21dbe6

Aliases

arxiv: 1407.7253 · arxiv_version: 1407.7253v2 · doi: 10.48550/arxiv.1407.7253 · pith_short_12: JOYSWXZX7OQR · pith_short_16: JOYSWXZX7OQRCUES · pith_short_8: JOYSWXZX

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/JOYSWXZX7OQRCUESK2K2UQA4GW \
  | 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: 4bb12b5f37fba11150925695aa401c35ae6dcff3a4fb31ca33dd56407f21dbe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "858d9f6ed5a28285d6925aabad241d8905ddea555bf59717b38d7def3348bdce",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-07-27T16:37:48Z",
    "title_canon_sha256": "51e0cc6eb6c56d36dca1d1e1ba8d0558b0561d80306cafc20577d34679b24e87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7253",
    "kind": "arxiv",
    "version": 2
  }
}