Pith Number

pith:YXSZXY4D

pith:2011:YXSZXY4D5UJTOHFBIJARFJYB3C

not attested not anchored not stored refs pending

On decomposable rational maps

Carlos Cabrera, Peter Makienko

arxiv:1106.2799 v2 · 2011-06-14 · 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{YXSZXY4D5UJTOHFBIJARFJYB3C}

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	2026-05-18T04:19:04.080143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5e59be383ed13371ca1424112a701d8b9406e87fed2fdf6f726fb8f100d0822

Aliases

arxiv: 1106.2799 · arxiv_version: 1106.2799v2 · doi: 10.48550/arxiv.1106.2799 · pith_short_12: YXSZXY4D5UJT · pith_short_16: YXSZXY4D5UJTOHFB · pith_short_8: YXSZXY4D

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/YXSZXY4D5UJTOHFBIJARFJYB3C \
  | 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: c5e59be383ed13371ca1424112a701d8b9406e87fed2fdf6f726fb8f100d0822

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a28c0ac17674366c77311d020f8f1fec3f1533c52af368e93ab990e2fe4a0801",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-06-14T19:45:53Z",
    "title_canon_sha256": "2415fd5ac2268111e39f95e429c6e91e64ae3a3ae6442d4ce552a43dd65891ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2799",
    "kind": "arxiv",
    "version": 2
  }
}