Pith Number

pith:HN4GIJMU

pith:2020:HN4GIJMUPCJVOOROD4APJH7VXB

not attested not anchored not stored refs pending

On the additivity of strong homology for locally compact separable metric spaces

Jeffrey Bergfalk, Justin Tatch Moore, Nathaniel Bannister

arxiv:2008.13089 v3 · 2020-08-30 · math.LO · 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{HN4GIJMUPCJVOOROD4APJH7VXB}

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	2026-07-05T03:58:13.154569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b786425947893573a2e1f00f49ff5b85323fb638fbb3636706e241eab098999

Aliases

arxiv: 2008.13089 · arxiv_version: 2008.13089v3 · doi: 10.48550/arxiv.2008.13089 · pith_short_12: HN4GIJMUPCJV · pith_short_16: HN4GIJMUPCJVOORO · pith_short_8: HN4GIJMU

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/HN4GIJMUPCJVOOROD4APJH7VXB \
  | 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: 3b786425947893573a2e1f00f49ff5b85323fb638fbb3636706e241eab098999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54fda65450d992fd5ffa308ffdccb9c3147e34fb006bff3183bb0dd74203568c",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2020-08-30T04:59:21Z",
    "title_canon_sha256": "149cb3c7c4d6434c4816a8b8016b59c209c11296cd7d1b001f9df699b814eb6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.13089",
    "kind": "arxiv",
    "version": 3
  }
}