Pith Number

pith:66GDVRDF

pith:2015:66GDVRDF5WVSGBXQFHQJQZNANP

not attested not anchored not stored refs pending

Equilibrium measures for certain isometric extensions of Anosov systems

Daniel Visscher, Ralf Spatzier

arxiv:1510.04624 v1 · 2015-10-15 · 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{66GDVRDF5WVSGBXQFHQJQZNANP}

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	2026-05-18T01:03:45.207720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f78c3ac465edab2306f029e09865a06bf628c9f131d3bc1d3cae1dac20418741

Aliases

arxiv: 1510.04624 · arxiv_version: 1510.04624v1 · doi: 10.48550/arxiv.1510.04624 · pith_short_12: 66GDVRDF5WVS · pith_short_16: 66GDVRDF5WVSGBXQ · pith_short_8: 66GDVRDF

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/66GDVRDF5WVSGBXQFHQJQZNANP \
  | 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: f78c3ac465edab2306f029e09865a06bf628c9f131d3bc1d3cae1dac20418741

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "920c05363b1e7f76eef56d0f7b9c8ed8ef0b60d66a16b051915ccc6dd3659186",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-15T16:51:56Z",
    "title_canon_sha256": "981d4dda3e63e181b676f9e4d034cfc7d8504075b4507e1fe989945310eaee94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04624",
    "kind": "arxiv",
    "version": 1
  }
}