Pith Number

pith:PVKT4QKB

pith:2011:PVKT4QKBFK5KQ6X7BD5DZDDRO7

not attested not anchored not stored refs pending

Thermodynamics for geodesic flows of rank 1 surfaces

Katrin Gelfert, Keith Burns

arxiv:1106.0053 v1 · 2011-05-31 · 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{PVKT4QKBFK5KQ6X7BD5DZDDRO7}

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	2026-05-18T04:20:52.217085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d553e41412abaa87aff08fa3c8c7177e3e1a86a3ebd0dc5f19e7d6f17674fc0

Aliases

arxiv: 1106.0053 · arxiv_version: 1106.0053v1 · doi: 10.48550/arxiv.1106.0053 · pith_short_12: PVKT4QKBFK5K · pith_short_16: PVKT4QKBFK5KQ6X7 · pith_short_8: PVKT4QKB

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/PVKT4QKBFK5KQ6X7BD5DZDDRO7 \
  | 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: 7d553e41412abaa87aff08fa3c8c7177e3e1a86a3ebd0dc5f19e7d6f17674fc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b73cd6d85ecdcb6d2c33972c1a5e3d8e14e921a5d05865d8a79f38e909591dd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-05-31T22:56:06Z",
    "title_canon_sha256": "c842ff39506bd7f121e585dea8c8b4e2c4f4fd58b147427bafbbbe8932a31d42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0053",
    "kind": "arxiv",
    "version": 1
  }
}