Pith Number

pith:PC7PJRSF

pith:2023:PC7PJRSFWB345OWOJD3A3TE5WG

not attested not anchored not stored refs pending

Counting geodesic loops on surfaces of genus at least 2 without conjugate points

Khadim War, Mark Pollicott

arxiv:2309.14099 v1 · 2023-09-25 · math.DG · 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{PC7PJRSFWB345OWOJD3A3TE5WG}

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	2026-07-05T06:54:01.350895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78bef4c645b077cebace48f60dcc9db1b3ec08ea50a04ec41f67de9c1208ed35

Aliases

arxiv: 2309.14099 · arxiv_version: 2309.14099v1 · doi: 10.48550/arxiv.2309.14099 · pith_short_12: PC7PJRSFWB34 · pith_short_16: PC7PJRSFWB345OWO · pith_short_8: PC7PJRSF

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/PC7PJRSFWB345OWOJD3A3TE5WG \
  | 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: 78bef4c645b077cebace48f60dcc9db1b3ec08ea50a04ec41f67de9c1208ed35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44f84fcfe75923f0cd9d3f55672d1f0b2f33a095369785717189d490203a37db",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-09-25T12:50:34Z",
    "title_canon_sha256": "51cdf5837820e12136dc9031543f64e4f909f859e742f13c75be96550c8c1a04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.14099",
    "kind": "arxiv",
    "version": 1
  }
}