Pith Number

pith:ZFNH63SR

pith:2016:ZFNH63SR7S5KMVFJB366I5P5ZL

not attested not anchored not stored refs pending

Semigroup actions of expanding maps

Fagner B. Rodrigues, Maria Carvalho, Paulo Varandas

arxiv:1601.04275 v2 · 2016-01-17 · 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{ZFNH63SR7S5KMVFJB366I5P5ZL}

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	2026-05-18T00:51:51.979952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c95a7f6e51fcbaa654a90efde475fdcaefe8faaeb8d24815de5e37db312947f3

Aliases

arxiv: 1601.04275 · arxiv_version: 1601.04275v2 · doi: 10.48550/arxiv.1601.04275 · pith_short_12: ZFNH63SR7S5K · pith_short_16: ZFNH63SR7S5KMVFJ · pith_short_8: ZFNH63SR

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/ZFNH63SR7S5KMVFJB366I5P5ZL \
  | 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: c95a7f6e51fcbaa654a90efde475fdcaefe8faaeb8d24815de5e37db312947f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e06d1d0d97f4a53d1adac9ea756b1be97556c7bdff28c03f93bdaafff08dd347",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-01-17T11:42:40Z",
    "title_canon_sha256": "08409b8f371f57e258addde7962e0c85c8dc2abed08d5cf9970f7679aeb822f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04275",
    "kind": "arxiv",
    "version": 2
  }
}