Pith Number

pith:FSSR5SS4

pith:2014:FSSR5SS4ZIYDPXWO4ZV3ARB4A2

not attested not anchored not stored refs pending

Robust transitivity for endomorphisms admitting critical points

Aldo Portela, Cristina Lizana, Jorge Iglesias

arxiv:1408.1661 v2 · 2014-08-07 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FSSR5SS4ZIYDPXWO4ZV3ARB4A2}

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	2026-05-18T02:20:59.317772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ca51eca5cca3037decee66bb0443c0698c8f09d925a2206ce085520f8ee2660

Aliases

arxiv: 1408.1661 · arxiv_version: 1408.1661v2 · doi: 10.48550/arxiv.1408.1661 · pith_short_12: FSSR5SS4ZIYD · pith_short_16: FSSR5SS4ZIYDPXWO · pith_short_8: FSSR5SS4

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/FSSR5SS4ZIYDPXWO4ZV3ARB4A2 \
  | 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: 2ca51eca5cca3037decee66bb0443c0698c8f09d925a2206ce085520f8ee2660

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48c2d4c1e6c98e726b535e47be344085504c9780a43ce19494b0e1d4c981f341",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-08-07T17:28:14Z",
    "title_canon_sha256": "3a58957d7803348401ae25b9c28ada3cf44fabfda343a40e99d2cc05437664fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1661",
    "kind": "arxiv",
    "version": 2
  }
}