Pith Number

pith:L5GW6GIN

pith:2011:L5GW6GINUPIGNQUDCOUHYA3DCV

not attested not anchored not stored refs pending

Many-one reductions and the category of multivalued functions

Arno Pauly

arxiv:1102.3151 v2 · 2011-02-15 · cs.CC · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L5GW6GINUPIGNQUDCOUHYA3DCV}

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	2026-05-18T01:23:39.348656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f4d6f190da3d066c28313a87c0363156081e545605e3f60e3e23975afd0e533

Aliases

arxiv: 1102.3151 · arxiv_version: 1102.3151v2 · doi: 10.48550/arxiv.1102.3151 · pith_short_12: L5GW6GINUPIG · pith_short_16: L5GW6GINUPIGNQUD · pith_short_8: L5GW6GIN

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/L5GW6GINUPIGNQUDCOUHYA3DCV \
  | 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: 5f4d6f190da3d066c28313a87c0363156081e545605e3f60e3e23975afd0e533

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70e996baa2a1d74e42732603e9ed04e635e64802b5eed845584ffc84bda076be",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2011-02-15T18:36:13Z",
    "title_canon_sha256": "c2a4e9f2ab7b62b6fd0b98fde1b9d8aae88e4d37670139ade6662b850b0bf95b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3151",
    "kind": "arxiv",
    "version": 2
  }
}