Pith Number

pith:AKM6NYRV

pith:2009:AKM6NYRV6IDO5MIYWMIGLIFMYU

not attested not anchored not stored refs pending

Relative systoles of relative-essential 2-complexes

Karin U. Katz, Mikhail G. Katz, Shmuel Weinberger, Stephane Sabourau, Steven Shnider

arxiv:0911.4265 v3 · 2009-11-22 · math.DG · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AKM6NYRV6IDO5MIYWMIGLIFMYU}

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	2026-05-18T04:38:59.278685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0299e6e235f206eeb118b31065a0acc50dc841004fc359f34919744f10c37e61

Aliases

arxiv: 0911.4265 · arxiv_version: 0911.4265v3 · doi: 10.48550/arxiv.0911.4265 · pith_short_12: AKM6NYRV6IDO · pith_short_16: AKM6NYRV6IDO5MIY · pith_short_8: AKM6NYRV

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/AKM6NYRV6IDO5MIYWMIGLIFMYU \
  | 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: 0299e6e235f206eeb118b31065a0acc50dc841004fc359f34919744f10c37e61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dd90d8fb85b8ea513490137435303eeaf0b35b18b46ba22ed393371fcab3ea6",
    "cross_cats_sorted": [
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-11-22T16:38:28Z",
    "title_canon_sha256": "20529275676c9af6adae1f46ea999ab660be9d49da98974a9632b91e46faf8d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4265",
    "kind": "arxiv",
    "version": 3
  }
}