Pith Number

pith:KRSSIWDI

pith:2009:KRSSIWDI7W6NGWBZX47C5GN2L2

not attested not anchored not stored refs pending

Injections of the complex of separating curves into the Torelli complex

Yoshikata Kida

arxiv:0911.3926 v3 · 2009-11-19 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KRSSIWDI7W6NGWBZX47C5GN2L2}

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	2026-05-18T02:24:46.173791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5465245868fdbcd35839bf3e2e99ba5e90e2761c033283948fe1d36cdc73fc40

Aliases

arxiv: 0911.3926 · arxiv_version: 0911.3926v3 · doi: 10.48550/arxiv.0911.3926 · pith_short_12: KRSSIWDI7W6N · pith_short_16: KRSSIWDI7W6NGWBZ · pith_short_8: KRSSIWDI

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/KRSSIWDI7W6NGWBZX47C5GN2L2 \
  | 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: 5465245868fdbcd35839bf3e2e99ba5e90e2761c033283948fe1d36cdc73fc40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d91c39e837d3d6318824e853e4c01d9c9bdf6bfd7630d5f07407c9cb5e39ee18",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-11-19T22:40:51Z",
    "title_canon_sha256": "99b981efeeeee1718c9fc71924e816e2fe1a6578ba81b8a23006b37536876d9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3926",
    "kind": "arxiv",
    "version": 3
  }
}