Pith Number

pith:L7LXEAFV

pith:2010:L7LXEAFVZ5KGNKRCMJEWWAISOM

not attested not anchored not stored refs pending

Real elements in the mapping class group of $T^2$

Nermin Salepci

arxiv:1006.0752 v2 · 2010-06-03 · 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{L7LXEAFVZ5KGNKRCMJEWWAISOM}

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	2026-05-18T04:41:26.083347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fd77200b5cf5466aa2262496b01127326032566a5c92f21b9d5a0910c54427d

Aliases

arxiv: 1006.0752 · arxiv_version: 1006.0752v2 · doi: 10.48550/arxiv.1006.0752 · pith_short_12: L7LXEAFVZ5KG · pith_short_16: L7LXEAFVZ5KGNKRC · pith_short_8: L7LXEAFV

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/L7LXEAFVZ5KGNKRCMJEWWAISOM \
  | 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: 5fd77200b5cf5466aa2262496b01127326032566a5c92f21b9d5a0910c54427d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1310fa0e4ba1ca0dc3e0f5529998a46af5e8be832226559ad66e2f8b1fe38dbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-06-03T22:46:38Z",
    "title_canon_sha256": "21f2f3bb159c7bdd439b249b8bff5ea8c87ab2cbc547eb3c530250b8aed8d98f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0752",
    "kind": "arxiv",
    "version": 2
  }
}