Pith Number

pith:NJH3GMMU

pith:2014:NJH3GMMUD5PN2A6VPBUE65XYPT

not attested not anchored not stored refs pending

K-theory of derivators revisited

Fernando Muro, George Raptis

arxiv:1402.1871 v2 · 2014-02-08 · math.KT · math.AT · 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{NJH3GMMUD5PN2A6VPBUE65XYPT}

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	2026-05-18T00:54:41.840523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a4fb331941f5edd03d578684f76f87cffb78c29137bc062c398906e8a712500

Aliases

arxiv: 1402.1871 · arxiv_version: 1402.1871v2 · doi: 10.48550/arxiv.1402.1871 · pith_short_12: NJH3GMMUD5PN · pith_short_16: NJH3GMMUD5PN2A6V · pith_short_8: NJH3GMMU

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/NJH3GMMUD5PN2A6VPBUE65XYPT \
  | 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: 6a4fb331941f5edd03d578684f76f87cffb78c29137bc062c398906e8a712500

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd30babe3d540c7e83f041360459e513283a1f4b489a7cdf3b36e0e90c90e4c7",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2014-02-08T17:31:45Z",
    "title_canon_sha256": "b3c8645be81e62310d76b91fdcaee14fd482f2d9b38e83a5590577918783568a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1871",
    "kind": "arxiv",
    "version": 2
  }
}