Pith Number

pith:2TLEXWD6

pith:2011:2TLEXWD6VUATOXLALOPT3CDMBZ

not attested not anchored not stored refs pending

The dynamics of Aut(F_n) on redundant representations

Tsachik Gelander, Yair Minsky

arxiv:1104.4774 v2 · 2011-04-25 · math.DS · 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{2TLEXWD6VUATOXLALOPT3CDMBZ}

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	2026-05-18T02:20:11.208821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4d64bd87ead01375d605b9f3d886c0e536232e7d8fc5add911eb0f95811d214

Aliases

arxiv: 1104.4774 · arxiv_version: 1104.4774v2 · doi: 10.48550/arxiv.1104.4774 · pith_short_12: 2TLEXWD6VUAT · pith_short_16: 2TLEXWD6VUATOXLA · pith_short_8: 2TLEXWD6

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/2TLEXWD6VUATOXLALOPT3CDMBZ \
  | 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: d4d64bd87ead01375d605b9f3d886c0e536232e7d8fc5add911eb0f95811d214

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baed5dfc867137578badc734d4e33dd18b3d32b1fd05a7f4809f27e4ec8f33fc",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-04-25T18:56:57Z",
    "title_canon_sha256": "66996b2d113720fc4af0387d955bdf999f706166ad5a6e7a412177db2a1017bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4774",
    "kind": "arxiv",
    "version": 2
  }
}