Pith Number

pith:CWS4MAA6

pith:2010:CWS4MAA63DBYAUWBKZWZXPTO2F

not attested not anchored not stored refs pending

Dynamics of Irreducible Endomorphisms of $F_n$

Patrick Reynolds

arxiv:1008.3659 v3 · 2010-08-21 · 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{CWS4MAA63DBYAUWBKZWZXPTO2F}

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	2026-05-18T04:27:17.891860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15a5c6001ed8c38052c1566d9bbe6ed161de76eca993ea9cca222349de44f31e

Aliases

arxiv: 1008.3659 · arxiv_version: 1008.3659v3 · doi: 10.48550/arxiv.1008.3659 · pith_short_12: CWS4MAA63DBY · pith_short_16: CWS4MAA63DBYAUWB · pith_short_8: CWS4MAA6

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/CWS4MAA63DBYAUWBKZWZXPTO2F \
  | 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: 15a5c6001ed8c38052c1566d9bbe6ed161de76eca993ea9cca222349de44f31e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5456e77196af165daa960d43327138be9b1057fbc53a7e58bc3713671673271c",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-21T19:31:27Z",
    "title_canon_sha256": "054724fa505ae284fed62a40f819ace7fd333b9193447ed85359355dbc2e185a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3659",
    "kind": "arxiv",
    "version": 3
  }
}