Pith Number

pith:IE6WTTGV

pith:2008:IE6WTTGVZA4PCLLTZ2ZEDEIDEV

not attested not anchored not stored refs pending

Injections of mapping class groups

Christopher J. Leininger, Javier Aramayona, Juan Souto

arxiv:0811.0841 v1 · 2008-11-05 · math.GT · 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{IE6WTTGVZA4PCLLTZ2ZEDEIDEV}

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	2026-05-18T02:38:18.987467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

413d69ccd5c838f12d73ceb2419103254eb7d770a3813cfafec5f9f5a1412caa

Aliases

arxiv: 0811.0841 · arxiv_version: 0811.0841v1 · doi: 10.48550/arxiv.0811.0841 · pith_short_12: IE6WTTGVZA4P · pith_short_16: IE6WTTGVZA4PCLLT · pith_short_8: IE6WTTGV

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/IE6WTTGVZA4PCLLTZ2ZEDEIDEV \
  | 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: 413d69ccd5c838f12d73ceb2419103254eb7d770a3813cfafec5f9f5a1412caa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "835b8415cf5773e91be48cf77272d88bfabff82abed8a682f1733578bdb07413",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-11-05T23:21:49Z",
    "title_canon_sha256": "d1df8015a96934d1ba8f41737606f907d2b541aaeb6647dffaf122f441529c24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0841",
    "kind": "arxiv",
    "version": 1
  }
}