Pith Number

pith:5UTFRTC2

pith:2013:5UTFRTC25UDF3DIESQDVOJO53L

not attested not anchored not stored refs pending

Degeneration of the Julia set to singular loci of algebraic curves

Hiromitsu Harada, Noriko Saitoh, Satoru Saito, Tsukasa Yumibayashi, Yuki Wakimoto

arxiv:1307.2617 v1 · 2013-07-09 · nlin.SI · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5UTFRTC25UDF3DIESQDVOJO53L}

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	2026-05-18T03:18:50.914883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed2658cc5aed065d8d0494075725dddaecc51f70c141277b0ea8fc5e8acb1567

Aliases

arxiv: 1307.2617 · arxiv_version: 1307.2617v1 · doi: 10.48550/arxiv.1307.2617 · pith_short_12: 5UTFRTC25UDF · pith_short_16: 5UTFRTC25UDF3DIE · pith_short_8: 5UTFRTC2

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/5UTFRTC25UDF3DIESQDVOJO53L \
  | 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: ed2658cc5aed065d8d0494075725dddaecc51f70c141277b0ea8fc5e8acb1567

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4117afacbf47f99c518db7e4b6d1e87e65b458545005886a77293014b30dd7fa",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2013-07-09T22:40:15Z",
    "title_canon_sha256": "0442dc59b2a59244c1416c38050ac02cc2bc8971e86a44e6024b062d76df0644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2617",
    "kind": "arxiv",
    "version": 1
  }
}