Pith Number

pith:RAPMFZFY

pith:2011:RAPMFZFYMOI4A42ORIACKR6TXM

not attested not anchored not stored refs pending

Stabilizations via Lefschetz Fibrations and Exact Open Books

M. Firat Arikan, Selman Akbulut

arxiv:1112.0519 v2 · 2011-12-02 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RAPMFZFYMOI4A42ORIACKR6TXM}

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	2026-05-18T03:55:46.748073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

881ec2e4b86391c0734e8a002547d3bb21ca2094756decd48537d0b3147c99f8

Aliases

arxiv: 1112.0519 · arxiv_version: 1112.0519v2 · doi: 10.48550/arxiv.1112.0519 · pith_short_12: RAPMFZFYMOI4 · pith_short_16: RAPMFZFYMOI4A42O · pith_short_8: RAPMFZFY

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/RAPMFZFYMOI4A42ORIACKR6TXM \
  | 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: 881ec2e4b86391c0734e8a002547d3bb21ca2094756decd48537d0b3147c99f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa298f03d84c066e3458a3bae7c66b7dbe5906fe004074e493db4dcf447ce00d",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-12-02T17:43:25Z",
    "title_canon_sha256": "d4399503c88a6f062932a9becf7fe82bbd6512b1a2e092acd8483879bf279bd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0519",
    "kind": "arxiv",
    "version": 2
  }
}