Pith Number

pith:NJRIM7LW

pith:2014:NJRIM7LWVTHIWOU457W44HB5DM

not attested not anchored not stored refs pending

$K$-theory and homotopies of 2-cocycles on higher-rank graphs

Elizabeth Gillaspy

arxiv:1403.3799 v2 · 2014-03-15 · math.OA · 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{NJRIM7LWVTHIWOU457W44HB5DM}

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	2026-05-18T01:22:24.275161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a62867d76acce8b3a9cefedce1c3d1b3fdb45bc061eb0460c47ed216062e3cb

Aliases

arxiv: 1403.3799 · arxiv_version: 1403.3799v2 · doi: 10.48550/arxiv.1403.3799 · pith_short_12: NJRIM7LWVTHI · pith_short_16: NJRIM7LWVTHIWOU4 · pith_short_8: NJRIM7LW

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/NJRIM7LWVTHIWOU457W44HB5DM \
  | 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: 6a62867d76acce8b3a9cefedce1c3d1b3fdb45bc061eb0460c47ed216062e3cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af6d54de1a28a6f60cf84dfb97ec75a0583eceee88b2ace04ae75a78835aab54",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-03-15T13:07:54Z",
    "title_canon_sha256": "434852be26a36979267481f5f5b3bf3fea3b240762cb5993ed3e87f9d1a6eeed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3799",
    "kind": "arxiv",
    "version": 2
  }
}