Pith Number

pith:EYLHARUC

pith:2015:EYLHARUCZ2YGIVG56WCVZVRPMZ

not attested not anchored not stored refs pending

Invariants and structures of the homology cobordism group of homology cylinders

Minkyoung Song

arxiv:1505.04561 v1 · 2015-05-18 · 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{EYLHARUCZ2YGIVG56WCVZVRPMZ}

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	2026-05-18T01:15:46.754248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2616704682ceb06454ddf5855cd62f6671a7078986d83f45fcebd5305c676b21

Aliases

arxiv: 1505.04561 · arxiv_version: 1505.04561v1 · doi: 10.48550/arxiv.1505.04561 · pith_short_12: EYLHARUCZ2YG · pith_short_16: EYLHARUCZ2YGIVG5 · pith_short_8: EYLHARUC

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/EYLHARUCZ2YGIVG56WCVZVRPMZ \
  | 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: 2616704682ceb06454ddf5855cd62f6671a7078986d83f45fcebd5305c676b21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aa52866504a0841c604abe441bbb93b487aa64d47b110a7ec0fe83cfe64caee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-05-18T09:10:56Z",
    "title_canon_sha256": "9264bc2034476a31acc915b1007554e377ccc0d94a922904609c8b2364797d7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04561",
    "kind": "arxiv",
    "version": 1
  }
}