Pith Number

pith:MJIAAD7G

pith:2011:MJIAAD7GQ3JFFSYYSNUTAJTDDO

not attested not anchored not stored refs pending

A Geometric Proof of a Faithful Linear-Categorical Surface Mapping Class Group Action

Kyler Siegel

arxiv:1108.3676 v1 · 2011-08-18 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJIAAD7GQ3JFFSYYSNUTAJTDDO}

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	2026-05-18T04:15:07.691504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6250000fe686d252cb1893693026631bbf12d8d25e0f0e5a00c83e8f460e9d74

Aliases

arxiv: 1108.3676 · arxiv_version: 1108.3676v1 · doi: 10.48550/arxiv.1108.3676 · pith_short_12: MJIAAD7GQ3JF · pith_short_16: MJIAAD7GQ3JFFSYY · pith_short_8: MJIAAD7G

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/MJIAAD7GQ3JFFSYYSNUTAJTDDO \
  | 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: 6250000fe686d252cb1893693026631bbf12d8d25e0f0e5a00c83e8f460e9d74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e65190f560a6d9db4fbab6e0e84a51f66d87a7141882ddf5d2f71d2fefb97ae9",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-18T08:14:27Z",
    "title_canon_sha256": "2ef0e421b9164b658bb8c3c5151156aff1977a839a9a632e27037c6502125a9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3676",
    "kind": "arxiv",
    "version": 1
  }
}