Pith Number

pith:5UFVASFU

pith:2009:5UFVASFUW5STFTHJYA723VFK4M

not attested not anchored not stored refs pending

Abelian quotients of monoids of homology cylinders

Hiroshi Goda, Takuya Sakasai

arxiv:0905.4775 v3 · 2009-05-29 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5UFVASFUW5STFTHJYA723VFK4M}

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	2026-05-18T04:14:27.673230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed0b5048b4b76532cce9c03fadd4aae31e605eadbdb2b15d70690214f97d6292

Aliases

arxiv: 0905.4775 · arxiv_version: 0905.4775v3 · doi: 10.48550/arxiv.0905.4775 · pith_short_12: 5UFVASFUW5ST · pith_short_16: 5UFVASFUW5STFTHJ · pith_short_8: 5UFVASFU

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/5UFVASFUW5STFTHJYA723VFK4M \
  | 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: ed0b5048b4b76532cce9c03fadd4aae31e605eadbdb2b15d70690214f97d6292

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "668065b1f08fb38b6e20d7b974da8e21032c6402e9cead0a583b0889ee99d0b6",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-05-29T02:13:27Z",
    "title_canon_sha256": "78c9fbe481c4a1e790f5348f0637584365915187f1f9aa67faf788e2ac6ed699"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4775",
    "kind": "arxiv",
    "version": 3
  }
}