Pith Number

pith:25Q5UKZU

pith:2013:25Q5UKZU4CC6QBSXL23KI2H6GU

not attested not anchored not stored refs pending

Subgroup decomposition in $\text{Out}(F_n)$, Part III: Weak attraction theory

Lee Mosher, Michael Handel

arxiv:1306.4712 v3 · 2013-06-19 · 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{25Q5UKZU4CC6QBSXL23KI2H6GU}

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	2026-05-18T01:26:19.168578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d761da2b34e085e806575eb6a468fe3537e412b43a4edd9ed203129f12ab7491

Aliases

arxiv: 1306.4712 · arxiv_version: 1306.4712v3 · doi: 10.48550/arxiv.1306.4712 · pith_short_12: 25Q5UKZU4CC6 · pith_short_16: 25Q5UKZU4CC6QBSX · pith_short_8: 25Q5UKZU

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/25Q5UKZU4CC6QBSXL23KI2H6GU \
  | 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: d761da2b34e085e806575eb6a468fe3537e412b43a4edd9ed203129f12ab7491

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a02cf2e97cdcfd913714929b2f519d6ae43d7c84ccdd411bfde8f190b87c2661",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-06-19T22:31:43Z",
    "title_canon_sha256": "249de18718ed6672ffdadaa831398714baa48daebba238f0a2bd5721bb5e4bd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4712",
    "kind": "arxiv",
    "version": 3
  }
}