Pith Number

pith:D6KBDIIS

pith:2022:D6KBDIISGCVOWS67YJT7UBHCVG

not attested not anchored not stored refs pending

Murmurations of elliptic curves

Alexey Pozdnyakov, Kyu-Hwan Lee, Thomas Oliver, Yang-Hui He

arxiv:2204.10140 v2 · 2022-04-21 · math.NT · hep-th · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D6KBDIISGCVOWS67YJT7UBHCVG}

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.

Cited by

1 paper in Pith

Computer vision and converse theorems

Receipt and verification

First computed	2026-07-05T08:51:39.961430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f9411a11230aaeb4bdfc267fa04e2a98c2ab0692a2d4544c30cc66e97b11297

Aliases

arxiv: 2204.10140 · arxiv_version: 2204.10140v2 · doi: 10.48550/arxiv.2204.10140 · pith_short_12: D6KBDIISGCVO · pith_short_16: D6KBDIISGCVOWS67 · pith_short_8: D6KBDIIS

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/D6KBDIISGCVOWS67YJT7UBHCVG \
  | 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: 1f9411a11230aaeb4bdfc267fa04e2a98c2ab0692a2d4544c30cc66e97b11297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce359fdae57ad69215df4867f2c2da82d36727e7cf0070afaed40786275a7699",
    "cross_cats_sorted": [
      "hep-th",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-04-21T14:45:40Z",
    "title_canon_sha256": "e65aabab908cd3734980095a27dbff036713b8ff0017f306fccc4f4e1ab4ed3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.10140",
    "kind": "arxiv",
    "version": 2
  }
}