Pith Number

pith:QIMFPL7V

pith:2010:QIMFPL7VKSMJ734FKAQBUB4INS

not attested not anchored not stored refs pending

Planar open books with four binding components

Yanki Lekili

arxiv:1008.3529 v2 · 2010-08-20 · 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{QIMFPL7VKSMJ734FKAQBUB4INS}

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	2026-05-18T02:41:50.774950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

821857aff554989fef8550201a07886c9ffb596ef125ad3a4cfb9fcb176d4a8e

Aliases

arxiv: 1008.3529 · arxiv_version: 1008.3529v2 · doi: 10.48550/arxiv.1008.3529 · pith_short_12: QIMFPL7VKSMJ · pith_short_16: QIMFPL7VKSMJ734F · pith_short_8: QIMFPL7V

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/QIMFPL7VKSMJ734FKAQBUB4INS \
  | 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: 821857aff554989fef8550201a07886c9ffb596ef125ad3a4cfb9fcb176d4a8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c4123ef87b5ac06a1e1f2ad69c37294b128a4acb87a9786b412078dac40a04d",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-08-20T16:05:29Z",
    "title_canon_sha256": "f6c82149c549b5167304aa8921a0ce1facddb7c58d6012a7a5446fc993085a4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3529",
    "kind": "arxiv",
    "version": 2
  }
}