Pith Number

pith:IMJSMO2D

pith:2013:IMJSMO2DQOY7IHYYGRFX4QYOA3

not attested not anchored not stored refs pending

On Diophantine exponents in dimension 4

Dmitry Gayfulin, Nikolay Moshchevitin

arxiv:1309.7826 v1 · 2013-09-30 · 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{IMJSMO2DQOY7IHYYGRFX4QYOA3}

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	2026-05-18T03:11:48.106389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4313263b4383b1f41f18344b7e430e06e91678352a9a5131af492488c1acb62c

Aliases

arxiv: 1309.7826 · arxiv_version: 1309.7826v1 · doi: 10.48550/arxiv.1309.7826 · pith_short_12: IMJSMO2DQOY7 · pith_short_16: IMJSMO2DQOY7IHYY · pith_short_8: IMJSMO2D

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/IMJSMO2DQOY7IHYYGRFX4QYOA3 \
  | 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: 4313263b4383b1f41f18344b7e430e06e91678352a9a5131af492488c1acb62c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19aa5f4db5ec3651c20e29eb1b7db15bed5d1b173dfa54c5c32e4f4f0511abd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-30T12:53:05Z",
    "title_canon_sha256": "0d8bec11919fcf4acf965439282898bc0131d18feef853d2961bb707d143c44a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7826",
    "kind": "arxiv",
    "version": 1
  }
}