Pith Number

pith:3DM7JTWR

pith:2013:3DM7JTWR7SL57ECLOOXPNXZSRP

not attested not anchored not stored refs pending

Subgroup decomposition in Out(F_n), Part I: Geometric Models

Lee Mosher, Michael Handel

arxiv:1302.2378 v3 · 2013-02-10 · math.GR · 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{3DM7JTWR7SL57ECLOOXPNXZSRP}

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	2026-05-18T03:20:20.449672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8d9f4ced1fc97df904b73aef6df328bf5d52998c2f592dc65e56766571bffa6

Aliases

arxiv: 1302.2378 · arxiv_version: 1302.2378v3 · doi: 10.48550/arxiv.1302.2378 · pith_short_12: 3DM7JTWR7SL5 · pith_short_16: 3DM7JTWR7SL57ECL · pith_short_8: 3DM7JTWR

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/3DM7JTWR7SL57ECLOOXPNXZSRP \
  | 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: d8d9f4ced1fc97df904b73aef6df328bf5d52998c2f592dc65e56766571bffa6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1110a4383bb39d73b29df1da321138b16ad9ab446ba259f5c843de3846c71549",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-02-10T23:24:33Z",
    "title_canon_sha256": "d7f1d775ddc600033cc64a2c9ce1f3a4a28254bee03b92c662d644067588d418"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2378",
    "kind": "arxiv",
    "version": 3
  }
}