Pith Number

pith:XS7ACZ2E

pith:2012:XS7ACZ2EVT2TGTDUQKDETJUJMV

not attested not anchored not stored refs pending

Invariants of Topological Relative Right Equivalences

Imran Ahmed, Jo\~ao Nivaldo Tomazella, Maria Aparecida Soares Ruas

arxiv:1204.0060 v1 · 2012-03-31 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XS7ACZ2EVT2TGTDUQKDETJUJMV}

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	2026-05-17T23:49:18.281051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcbe016744acf5334c74828649a68965558ba07088ebf9caa32a5b53556ec933

Aliases

arxiv: 1204.0060 · arxiv_version: 1204.0060v1 · doi: 10.48550/arxiv.1204.0060 · pith_short_12: XS7ACZ2EVT2T · pith_short_16: XS7ACZ2EVT2TGTDU · pith_short_8: XS7ACZ2E

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/XS7ACZ2EVT2TGTDUQKDETJUJMV \
  | 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: bcbe016744acf5334c74828649a68965558ba07088ebf9caa32a5b53556ec933

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9d6661e4282e4864e977e19b5abeb05ed0c1e6546f77087bd53e518c9e93ecf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-03-31T02:46:27Z",
    "title_canon_sha256": "604b9910db4baf870147b2750585711d02154011776464e8d7ccfd709c745853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0060",
    "kind": "arxiv",
    "version": 1
  }
}