Pith Number

pith:MCEPA76Z

pith:2016:MCEPA76ZYGHWMX6XVWKFCTZFWY

not attested not anchored not stored refs pending

Fixed point sets of isotopies on surfaces

Fran\c{c}ois B\'eguin, Fr\'ed\'eric Le Roux, Sylvain Crovisier

arxiv:1610.00686 v2 · 2016-10-03 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCEPA76ZYGHWMX6XVWKFCTZFWY}

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	2026-05-18T00:49:51.601448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6088f07fd9c18f665fd7ad94514f25b6002182a3db5003c54ca5750d0dd5a13c

Aliases

arxiv: 1610.00686 · arxiv_version: 1610.00686v2 · doi: 10.48550/arxiv.1610.00686 · pith_short_12: MCEPA76ZYGHW · pith_short_16: MCEPA76ZYGHWMX6X · pith_short_8: MCEPA76Z

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/MCEPA76ZYGHWMX6XVWKFCTZFWY \
  | 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: 6088f07fd9c18f665fd7ad94514f25b6002182a3db5003c54ca5750d0dd5a13c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "106f0e0375552826c0613364c50ee209d59d8939709d459e420944e89b2a67c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-03T19:26:39Z",
    "title_canon_sha256": "021bd7ce60389bd7e8652de01c4774f067ee317aec8af268d4742b8412af2763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.00686",
    "kind": "arxiv",
    "version": 2
  }
}