Pith Number

pith:FFVNRPZ6

pith:2017:FFVNRPZ6EGV5P46I3W3PUI7FHO

not attested not anchored not stored refs pending

On Koyama's refinement of the prime geodesic theorem

Muharem Avdispahi\'c

arxiv:1701.01642 v1 · 2017-01-06 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFVNRPZ6EGV5P46I3W3PUI7FHO}

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	2026-05-18T00:22:16.326033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

296ad8bf3e21abd7f3c8ddb6fa23e53b8553cb44c075ab8acc0b012bb19a1236

Aliases

arxiv: 1701.01642 · arxiv_version: 1701.01642v1 · doi: 10.48550/arxiv.1701.01642 · pith_short_12: FFVNRPZ6EGV5 · pith_short_16: FFVNRPZ6EGV5P46I · pith_short_8: FFVNRPZ6

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/FFVNRPZ6EGV5P46I3W3PUI7FHO \
  | 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: 296ad8bf3e21abd7f3c8ddb6fa23e53b8553cb44c075ab8acc0b012bb19a1236

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "954bed5090fb14191368a9e3a4b0c6104a1e8173ed6cbde1ae1bf5da21c4ff20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-01-06T14:20:34Z",
    "title_canon_sha256": "d781d91e9a6c9e4e2f827bdc0db8e0ed711e6fec3f4a4264fe4a3a3ce2e806b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01642",
    "kind": "arxiv",
    "version": 1
  }
}