Pith Number

pith:BFIO72PA

pith:2005:BFIO72PAYW76GTMXHFWSG2FZBP

not attested not anchored not stored refs pending

Geometry of contact transformations and domains: orderability versus squeezing

Leonid Polterovich, Sang Seon Kim, Yakov Eliashberg

arxiv:math/0511658 v2 · 2005-11-27 · math.SG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFIO72PAYW76GTMXHFWSG2FZBP}

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	2026-05-18T02:37:59.666499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0950efe9e0c5bfe34d97396d2368b90be1c47703d49b8cb23c4cd0b0fba7c54f

Aliases

arxiv: math/0511658 · arxiv_version: math/0511658v2 · doi: 10.48550/arxiv.math/0511658 · pith_short_12: BFIO72PAYW76 · pith_short_16: BFIO72PAYW76GTMX · pith_short_8: BFIO72PA

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/BFIO72PAYW76GTMXHFWSG2FZBP \
  | 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: 0950efe9e0c5bfe34d97396d2368b90be1c47703d49b8cb23c4cd0b0fba7c54f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdb59e136b0fb45c43455b3d776577c50b954c563486053997a5f4a6bb701fc2",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2005-11-27T17:49:04Z",
    "title_canon_sha256": "bb334a311be6be0b732d277694a0b39c6fcbd14f7a1c2c29bd5e0ee24fee069d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511658",
    "kind": "arxiv",
    "version": 2
  }
}