Pith Number

pith:4K4RPCHG

pith:2017:4K4RPCHG4ORF6NTZDFJM475UZ5

not attested not anchored not stored refs pending

$PGT$ on $PSL(2,\mathbb{Z})$. A short proof

Muharem Avdispahi\'c

arxiv:1703.00165 v1 · 2017-03-01 · 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{4K4RPCHG4ORF6NTZDFJM475UZ5}

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	2026-05-18T00:10:47.912266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2b91788e6e3a25f36791952ce7fb4cf42e3c01ef7e20956bb2ada0074c9f97b

Aliases

arxiv: 1703.00165 · arxiv_version: 1703.00165v1 · doi: 10.48550/arxiv.1703.00165 · pith_short_12: 4K4RPCHG4ORF · pith_short_16: 4K4RPCHG4ORF6NTZ · pith_short_8: 4K4RPCHG

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/4K4RPCHG4ORF6NTZDFJM475UZ5 \
  | 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: e2b91788e6e3a25f36791952ce7fb4cf42e3c01ef7e20956bb2ada0074c9f97b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7b14a5d25f00a142045b2903bfd1b368468292845e82679ba56d4dcb327b5b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-01T07:45:11Z",
    "title_canon_sha256": "36a368be17b382047a7403cdced422808d56fb19f2f629eb07cab3fe714cb40d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00165",
    "kind": "arxiv",
    "version": 1
  }
}