Pith Number

pith:XJOAVYTG

pith:2017:XJOAVYTG3NKXSITR75TI6POPHZ

not attested not anchored not stored refs pending

Shimura curves and the abc conjecture

Hector Pasten

arxiv:1705.09251 v4 · 2017-05-25 · 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{XJOAVYTG3NKXSITR75TI6POPHZ}

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	2026-05-18T00:11:28.280436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba5c0ae266db55792271ff668f3dcf3e6c8639172d5749abc1a60b98ac892576

Aliases

arxiv: 1705.09251 · arxiv_version: 1705.09251v4 · doi: 10.48550/arxiv.1705.09251 · pith_short_12: XJOAVYTG3NKX · pith_short_16: XJOAVYTG3NKXSITR · pith_short_8: XJOAVYTG

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/XJOAVYTG3NKXSITR75TI6POPHZ \
  | 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: ba5c0ae266db55792271ff668f3dcf3e6c8639172d5749abc1a60b98ac892576

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b0fb238d006389db234feebd7c539934bd0d09222d20fe18f778cebc309208c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-25T16:32:46Z",
    "title_canon_sha256": "f0b803157fe288afd205fb0b6c4caebe4ee228331568fe20df295c0dd33ca9ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09251",
    "kind": "arxiv",
    "version": 4
  }
}