Pith Number

pith:VVLXU2JT

pith:2018:VVLXU2JT5ZI3EH65XWDABJTDKC

not attested not anchored not stored refs pending

A Criterion for Kan Extensions of Lax Monoidal Functors

Paolo Perrone, Tobias Fritz

arxiv:1809.10481 v1 · 2018-09-27 · 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{VVLXU2JT5ZI3EH65XWDABJTDKC}

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	2026-05-18T00:04:38.269237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad577a6933ee51b21fddbd8600a663509d8e4919d46f3bee4075ecad41c64dab

Aliases

arxiv: 1809.10481 · arxiv_version: 1809.10481v1 · doi: 10.48550/arxiv.1809.10481 · pith_short_12: VVLXU2JT5ZI3 · pith_short_16: VVLXU2JT5ZI3EH65 · pith_short_8: VVLXU2JT

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/VVLXU2JT5ZI3EH65XWDABJTDKC \
  | 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: ad577a6933ee51b21fddbd8600a663509d8e4919d46f3bee4075ecad41c64dab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5404115861dba05f5ef52d2833b7e8d32d29556fc7e8f32ccaa3ea459028a17c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2018-09-27T12:21:46Z",
    "title_canon_sha256": "320e2e3070d932295bb6e03e5f97d5ddcb595335e8e16fe4e3341692d3450990"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10481",
    "kind": "arxiv",
    "version": 1
  }
}