Pith Number

pith:4A2PROR6

pith:2011:4A2PROR6GYZZTAMBEPNLUREQVL

not attested not anchored not stored refs pending

On realizing homology classes by maps of restricted complexity

Andras Szucs, Mark Grant

arxiv:1111.0249 v2 · 2011-11-01 · 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{4A2PROR6GYZZTAMBEPNLUREQVL}

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	2026-05-18T02:58:00.273413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e034f8ba3e363399818123daba4490aacac22a21e5413f5b18388d6191d10b21

Aliases

arxiv: 1111.0249 · arxiv_version: 1111.0249v2 · doi: 10.48550/arxiv.1111.0249 · pith_short_12: 4A2PROR6GYZZ · pith_short_16: 4A2PROR6GYZZTAMB · pith_short_8: 4A2PROR6

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/4A2PROR6GYZZTAMBEPNLUREQVL \
  | 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: e034f8ba3e363399818123daba4490aacac22a21e5413f5b18388d6191d10b21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be56c40a8108be08cd59ce154118c91c74f3d6577794a14f20f481b129a7b1c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-11-01T17:21:31Z",
    "title_canon_sha256": "37317c4b6a3aec5b0c3bfd1226004020711cd86fe308f2eb47d6ae9f2ac445b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0249",
    "kind": "arxiv",
    "version": 2
  }
}