Pith Number

pith:77CQHIXN

pith:2019:77CQHIXNWYVFUCSWDBS7RUPJP7

not attested not anchored not stored refs pending

Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points

Gerhard Knieper, Khadim War, Vaughn Climenhaga

arxiv:1903.09831 v2 · 2019-03-23 · math.DS · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77CQHIXNWYVFUCSWDBS7RUPJP7}

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	2026-07-05T01:18:15.174738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffc503a2edb62a5a0a561865f8d1e97fe9fa3df7d60098ac9d109eb7ae13bee4

Aliases

arxiv: 1903.09831 · arxiv_version: 1903.09831v2 · doi: 10.48550/arxiv.1903.09831 · pith_short_12: 77CQHIXNWYVF · pith_short_16: 77CQHIXNWYVFUCSW · pith_short_8: 77CQHIXN

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/77CQHIXNWYVFUCSWDBS7RUPJP7 \
  | 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: ffc503a2edb62a5a0a561865f8d1e97fe9fa3df7d60098ac9d109eb7ae13bee4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fef17aaf916db90e3eeee858fcacc161d5b4422b7ba8958b665a3476aae79586",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-03-23T15:15:14Z",
    "title_canon_sha256": "43141d19ce14818e4de4d5c5e4bd6e5b38a870953287dee5e227b61b0a78db85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09831",
    "kind": "arxiv",
    "version": 2
  }
}