Pith Number

pith:XYD3F4WT

pith:1995:XYD3F4WTGR6E3ZVVOWS7F6KBIC

not attested not anchored not stored refs pending

Surgery on postcritically finite rational maps by blowing up an arc

Kelvin Pilgrim, Tan Lei

arxiv:math/9512221 v1 · 1995-12-18 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYD3F4WTGR6E3ZVVOWS7F6KBIC}

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	2026-05-18T01:05:47.943244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be07b2f2d3347c4de6b575a5f2f941408f7517ec5686d0e21be9201802e2a63d

Aliases

arxiv: math/9512221 · arxiv_version: math/9512221v1 · doi: 10.48550/arxiv.math/9512221 · pith_short_12: XYD3F4WTGR6E · pith_short_16: XYD3F4WTGR6E3ZVV · pith_short_8: XYD3F4WT

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/XYD3F4WTGR6E3ZVVOWS7F6KBIC \
  | 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: be07b2f2d3347c4de6b575a5f2f941408f7517ec5686d0e21be9201802e2a63d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "758b737cd824699a5d3d0cb58b1e466c58f14632e66b39cfdc84a4f87462eaff",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "1995-12-18T00:00:00Z",
    "title_canon_sha256": "d42e57c76b401f02d257888060a33fd06742940c8411fea5097e243cd3eb9070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9512221",
    "kind": "arxiv",
    "version": 1
  }
}