Pith Number

pith:CKHYZUY5

pith:2015:CKHYZUY5ZVRBILEHDG7X6RSCJP

not attested not anchored not stored refs pending

Double pants decompositions revisited

Anna Felikson, Sergey Natanzon

arxiv:1509.08066 v1 · 2015-09-27 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKHYZUY5ZVRBILEHDG7X6RSCJP}

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	2026-05-18T01:31:54.804083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

128f8cd31dcd62142c8719bf7f46424bc889dcda8f973c0c2bb387e2e1394c9a

Aliases

arxiv: 1509.08066 · arxiv_version: 1509.08066v1 · doi: 10.48550/arxiv.1509.08066 · pith_short_12: CKHYZUY5ZVRB · pith_short_16: CKHYZUY5ZVRBILEH · pith_short_8: CKHYZUY5

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/CKHYZUY5ZVRBILEHDG7X6RSCJP \
  | 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: 128f8cd31dcd62142c8719bf7f46424bc889dcda8f973c0c2bb387e2e1394c9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e937ce5b15029ee0f19c7316abb2c941db741a70e0912c3caa6d115ef0904b1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-27T07:59:11Z",
    "title_canon_sha256": "4ddda9ddbc5bc0add1b3fd62d600969e2d7839ec3989381e818a7db5d3d926d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08066",
    "kind": "arxiv",
    "version": 1
  }
}