Pith Number

pith:DSMI4XF7

pith:2015:DSMI4XF74TKA5QFFIWIPEKHXIR

not attested not anchored not stored refs pending

CW-expansivity and entropy for flows

Alexander Arbieto, Maria Jose Pacifico, Welington Cordeiro

arxiv:1507.01198 v2 · 2015-07-05 · 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{DSMI4XF74TKA5QFFIWIPEKHXIR}

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	2026-05-18T01:28:38.198901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c988e5cbfe4d40ec0a54590f228f7445d8ad5ee38f343487ce6b2825ed24a53

Aliases

arxiv: 1507.01198 · arxiv_version: 1507.01198v2 · doi: 10.48550/arxiv.1507.01198 · pith_short_12: DSMI4XF74TKA · pith_short_16: DSMI4XF74TKA5QFF · pith_short_8: DSMI4XF7

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/DSMI4XF74TKA5QFFIWIPEKHXIR \
  | 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: 1c988e5cbfe4d40ec0a54590f228f7445d8ad5ee38f343487ce6b2825ed24a53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b1a4553ce9d10c1f5064df3ef3820797dc1492ec1912ed586c607160950813e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-05T11:33:58Z",
    "title_canon_sha256": "49cba1e25a1649be727d40e69daf707d7e6d8c3e9248ac21848cdcc1c58733d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01198",
    "kind": "arxiv",
    "version": 2
  }
}