Pith Number

pith:7DJNZQUC

pith:2017:7DJNZQUCJ4GI2NVLKBFM5CJYN3

not attested not anchored not stored refs pending

Prime geodesic theorem of Gallagher type

Muharem Avdispahi\'c

arxiv:1701.02115 v1 · 2017-01-09 · 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{7DJNZQUCJ4GI2NVLKBFM5CJYN3}

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	2026-05-18T00:53:11.617747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8d2dcc2824f0c8d36ab504ace89386ef9478826a3548e1cd374a5c64b8e754f

Aliases

arxiv: 1701.02115 · arxiv_version: 1701.02115v1 · doi: 10.48550/arxiv.1701.02115 · pith_short_12: 7DJNZQUCJ4GI · pith_short_16: 7DJNZQUCJ4GI2NVL · pith_short_8: 7DJNZQUC

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/7DJNZQUCJ4GI2NVLKBFM5CJYN3 \
  | 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: f8d2dcc2824f0c8d36ab504ace89386ef9478826a3548e1cd374a5c64b8e754f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af324c317558d7cb05de6c5aa29a4611e9b3e42f4f00dac4a0f566f052a29aaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-01-09T10:01:47Z",
    "title_canon_sha256": "a8a10e822be8e9f738124b4189c3c3c0212fb50d360ca13d6bcf2999c444250f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02115",
    "kind": "arxiv",
    "version": 1
  }
}