Pith Number

pith:DRAM3PW6

pith:2013:DRAM3PW6C6PZVTUC3IWMBOVLDC

not attested not anchored not stored refs pending

Polynomial entropy for the circle homeomorphisms and for $C^1$ nonvanishing vector fields on $\T^2$

Cl\'emence Labrousse

arxiv:1311.0213 v1 · 2013-11-01 · 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{DRAM3PW6C6PZVTUC3IWMBOVLDC}

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	2026-05-18T03:08:15.289525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c40cdbede179f9ace82da2cc0baab1896aad6940e2bc5bb57413e9b082ae08c

Aliases

arxiv: 1311.0213 · arxiv_version: 1311.0213v1 · doi: 10.48550/arxiv.1311.0213 · pith_short_12: DRAM3PW6C6PZ · pith_short_16: DRAM3PW6C6PZVTUC · pith_short_8: DRAM3PW6

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/DRAM3PW6C6PZVTUC3IWMBOVLDC \
  | 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: 1c40cdbede179f9ace82da2cc0baab1896aad6940e2bc5bb57413e9b082ae08c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dff7584de9aae0c53477e1965a03deab19ae27bb89614325e038813750cfc8eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-01T15:55:14Z",
    "title_canon_sha256": "a1d3af2d83a3e374da09b8e430b237983d8bba12933d19ba9abb968bf73b14f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0213",
    "kind": "arxiv",
    "version": 1
  }
}