Pith Number

pith:VAOEJHS2

pith:2017:VAOEJHS2ITSDOHVXAYQQFC43M4

not attested not anchored not stored refs pending

On the prime geodesic theorem for hyperbolic 3-manifolds

Muharem Avdispahi\'c

arxiv:1705.05626 v1 · 2017-05-16 · 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{VAOEJHS2ITSDOHVXAYQQFC43M4}

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	2026-05-18T00:10:47.761525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a81c449e5a44e4371eb70621028b9b671f6bf7de3a4307dfff3e0d627575f8a4

Aliases

arxiv: 1705.05626 · arxiv_version: 1705.05626v1 · doi: 10.48550/arxiv.1705.05626 · pith_short_12: VAOEJHS2ITSD · pith_short_16: VAOEJHS2ITSDOHVX · pith_short_8: VAOEJHS2

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/VAOEJHS2ITSDOHVXAYQQFC43M4 \
  | 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: a81c449e5a44e4371eb70621028b9b671f6bf7de3a4307dfff3e0d627575f8a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56c8c56fde55cf3b62e02306960228c0cebaf01ddfcd99227611c90637b7c3bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-16T10:04:47Z",
    "title_canon_sha256": "68358dcf59102dfcb4b01dfcd8b7c81860a41def44828664aad7f956a892ddc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05626",
    "kind": "arxiv",
    "version": 1
  }
}