Pith Number

pith:WKRMTANE

pith:2011:WKRMTANEF4CQRMFDY5GPANP4EC

not attested not anchored not stored refs pending

Partially hyperbolic geodesic flows

Enrique R. Pujals, Fernando A. Carneiro

arxiv:1110.1050 v3 · 2011-10-05 · 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{WKRMTANEF4CQRMFDY5GPANP4EC}

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	2026-05-18T03:31:30.961186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2a2c981a42f0508b0a3c74cf035fc208af47e15f8de25a4c03b6064c37ab980

Aliases

arxiv: 1110.1050 · arxiv_version: 1110.1050v3 · doi: 10.48550/arxiv.1110.1050 · pith_short_12: WKRMTANEF4CQ · pith_short_16: WKRMTANEF4CQRMFD · pith_short_8: WKRMTANE

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/WKRMTANEF4CQRMFDY5GPANP4EC \
  | 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: b2a2c981a42f0508b0a3c74cf035fc208af47e15f8de25a4c03b6064c37ab980

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4750d1065443f2c0d9edf5915db7482476bb2fc6fccc4a9ad89d931159986f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-10-05T17:19:19Z",
    "title_canon_sha256": "127e29628f90615bc6089cb3a8b0d7e5b0a40ffe0d7ebe92f13efc13a5d8f918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1050",
    "kind": "arxiv",
    "version": 3
  }
}