Pith Number

pith:C2ZS5VMI

pith:2013:C2ZS5VMIQ72ZTPD6X46BQSXXNX

not attested not anchored not stored refs pending

On the dynamics and entropy of the push-forward map

A. Baraviera, E. Oliveira, F. B. Rodrigues

arxiv:1301.1533 v1 · 2013-01-08 · 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{C2ZS5VMIQ72ZTPD6X46BQSXXNX}

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	2026-05-18T03:36:57.232509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16b32ed58887f599bc7ebf3c184af76dca868cecbd9801e4b94eadf8f774d196

Aliases

arxiv: 1301.1533 · arxiv_version: 1301.1533v1 · doi: 10.48550/arxiv.1301.1533 · pith_short_12: C2ZS5VMIQ72Z · pith_short_16: C2ZS5VMIQ72ZTPD6 · pith_short_8: C2ZS5VMI

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/C2ZS5VMIQ72ZTPD6X46BQSXXNX \
  | 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: 16b32ed58887f599bc7ebf3c184af76dca868cecbd9801e4b94eadf8f774d196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73f693c2d317485b15bce05b4ae0bf4e3416a409a9cd4cb82013299d30ad099f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-01-08T13:53:19Z",
    "title_canon_sha256": "e29f729454b8d637ec554b9ce1efbe702a6ca6075e3434ecd27ea3f78d12d90e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1533",
    "kind": "arxiv",
    "version": 1
  }
}