Pith Number

pith:T42KFLZG

pith:2014:T42KFLZGTJJER57F3TWXIP62N2

not attested not anchored not stored refs pending

From triangulated categories to module categories via homotopical algebra

Yann Palu

arxiv:1412.7289 v1 · 2014-12-23 · math.RT · 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{T42KFLZGTJJER57F3TWXIP62N2}

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	2026-05-18T02:30:39.223198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f34a2af269a5248f7e5dced743fda6ea0d71aaf15ecce5e20ccbfc50fed66b5

Aliases

arxiv: 1412.7289 · arxiv_version: 1412.7289v1 · doi: 10.48550/arxiv.1412.7289 · pith_short_12: T42KFLZGTJJE · pith_short_16: T42KFLZGTJJER57F · pith_short_8: T42KFLZG

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/T42KFLZGTJJER57F3TWXIP62N2 \
  | 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: 9f34a2af269a5248f7e5dced743fda6ea0d71aaf15ecce5e20ccbfc50fed66b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9766c7699eb84f38b7157ee66e365d67ae176503d5f56db7499ed8da764e748b",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-12-23T08:52:50Z",
    "title_canon_sha256": "3afac2fe01d821a33da12d9828b09a4a24cb11fd6985dd98f77da045bafd1fe7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7289",
    "kind": "arxiv",
    "version": 1
  }
}