Pith Number

pith:N56LH7GV

pith:2013:N56LH7GVEA5RSPVN43QMBAQPPP

not attested not anchored not stored refs pending

On the definition and K-theory realization of a modular functor

Igor Kriz, Luhang Lai

arxiv:1310.5174 v3 · 2013-10-18 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N56LH7GVEA5RSPVN43QMBAQPPP}

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	2026-05-18T00:26:40.415940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f7cb3fcd5203b193eade6e0c0820f7be998f0590cd32520aa21fac4b9ed2892

Aliases

arxiv: 1310.5174 · arxiv_version: 1310.5174v3 · doi: 10.48550/arxiv.1310.5174 · pith_short_12: N56LH7GVEA5R · pith_short_16: N56LH7GVEA5RSPVN · pith_short_8: N56LH7GV

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/N56LH7GVEA5RSPVN43QMBAQPPP \
  | 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: 6f7cb3fcd5203b193eade6e0c0820f7be998f0590cd32520aa21fac4b9ed2892

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "098c10d3352dd35a22864f10446ab636f7b7fce23107c996e8062b7f552336af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-10-18T22:10:37Z",
    "title_canon_sha256": "5132093762bde92e7642174fe315bdcc7e4a5d1e69278aa43268d2a58e18b6ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5174",
    "kind": "arxiv",
    "version": 3
  }
}