Pith Number

pith:AILKIWRV

pith:2019:AILKIWRVYVKGAWJO6EU43EXBDL

not attested not anchored not stored refs pending

Properties of equilibrium states for geodesic flows over manifolds without focal points

Dong Chen, Kiho Park, Lien-Yung Kao

arxiv:1912.07825 v1 · 2019-12-17 · 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{AILKIWRVYVKGAWJO6EU43EXBDL}

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	2026-07-05T00:56:40.968598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0216a45a35c55460592ef129cd92e11af3a5cb6a3b22c57639db7f71aa357fc5

Aliases

arxiv: 1912.07825 · arxiv_version: 1912.07825v1 · doi: 10.48550/arxiv.1912.07825 · pith_short_12: AILKIWRVYVKG · pith_short_16: AILKIWRVYVKGAWJO · pith_short_8: AILKIWRV

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/AILKIWRVYVKGAWJO6EU43EXBDL \
  | 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: 0216a45a35c55460592ef129cd92e11af3a5cb6a3b22c57639db7f71aa357fc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcb98507120e533136ef55f93a682054525f0322291b7d6a49baaf525e5e0268",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-12-17T05:24:53Z",
    "title_canon_sha256": "10deacd823e44b2cf7790f028266fdb5af3561560c31a85708b65d0e631cd65c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.07825",
    "kind": "arxiv",
    "version": 1
  }
}