Pith Number

pith:SBFFVRXO

pith:2007:SBFFVRXOMEG7YEJUEHPNH4QARF

not attested not anchored not stored refs pending

A characterization of hyperbolic rational maps

Cui Guizhen, Tan Lei

arxiv:math/0703380 v2 · 2007-03-13 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SBFFVRXOMEG7YEJUEHPNH4QARF}

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	2026-05-18T02:47:41.620570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

904a5ac6ee610dfc113421ded3f2008940adf754b27b78445c5d010d1c200c4c

Aliases

arxiv: math/0703380 · arxiv_version: math/0703380v2 · doi: 10.48550/arxiv.math/0703380 · pith_short_12: SBFFVRXOMEG7 · pith_short_16: SBFFVRXOMEG7YEJU · pith_short_8: SBFFVRXO

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/SBFFVRXOMEG7YEJUEHPNH4QARF \
  | 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: 904a5ac6ee610dfc113421ded3f2008940adf754b27b78445c5d010d1c200c4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04d968806c32e95c88def8a998de749bb54ddf64c9c1aa27db9cbdcc68e4dd53",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2007-03-13T15:19:37Z",
    "title_canon_sha256": "104685ac4a1a50b0321dcc6db3eee7590530c2deeb82ade790b283698eb55200"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703380",
    "kind": "arxiv",
    "version": 2
  }
}