Pith Number

pith:RWQBU2I2

pith:2011:RWQBU2I2DJGH3QE3BBTQW2MZYO

not attested not anchored not stored refs pending

On extensions of a symplectic class

Katsuhiko Kuribayashi

arxiv:1108.0218 v2 · 2011-08-01 · math.AT · 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{RWQBU2I2DJGH3QE3BBTQW2MZYO}

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	2026-05-18T04:16:22.232239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8da01a691a1a4c7dc09b08670b6999c3b688709e4d64db4df0ea86b32dc8187a

Aliases

arxiv: 1108.0218 · arxiv_version: 1108.0218v2 · doi: 10.48550/arxiv.1108.0218 · pith_short_12: RWQBU2I2DJGH · pith_short_16: RWQBU2I2DJGH3QE3 · pith_short_8: RWQBU2I2

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/RWQBU2I2DJGH3QE3BBTQW2MZYO \
  | 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: 8da01a691a1a4c7dc09b08670b6999c3b688709e4d64db4df0ea86b32dc8187a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e744235688f18d41186f37c6478a1cf763568be02fb5eceb43c09684fa5b210",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-08-01T01:32:48Z",
    "title_canon_sha256": "6bee0f88ee1d182854335eade6a5c9b78bb44d9c5c9cc369666cd0b0d0948f75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0218",
    "kind": "arxiv",
    "version": 2
  }
}