Pith Number

pith:EBI3TFZ5

pith:2010:EBI3TFZ5CW42DAG3DU4KHEZZ4U

not attested not anchored not stored refs pending

On monoids of injective partial selfmaps almost everywhere the identity

Ivan Chuchman, Oleg Gutik

arxiv:1009.1338 v3 · 2010-09-07 · math.GR · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EBI3TFZ5CW42DAG3DU4KHEZZ4U}

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	2026-05-18T04:07:08.019213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2051b9973d15b9a180db1d38a39339e51921c1b2850253b80eaa2e58ed27b25d

Aliases

arxiv: 1009.1338 · arxiv_version: 1009.1338v3 · doi: 10.48550/arxiv.1009.1338 · pith_short_12: EBI3TFZ5CW42 · pith_short_16: EBI3TFZ5CW42DAG3 · pith_short_8: EBI3TFZ5

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/EBI3TFZ5CW42DAG3DU4KHEZZ4U \
  | 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: 2051b9973d15b9a180db1d38a39339e51921c1b2850253b80eaa2e58ed27b25d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75112bb4e3707bde9ef669963621a4ffabe7269303a51d4fc4ba28d03cb61dab",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-09-07T16:42:51Z",
    "title_canon_sha256": "1c9793ead5a70c421bac369ebdd25be22dbcaf5709dbd7304ed1b449591efdef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1338",
    "kind": "arxiv",
    "version": 3
  }
}