Pith Number

pith:2ILIUJIL

pith:2026:2ILIUJILDJ5HMZ2U75TEUGVBQR

not attested not anchored not stored refs pending

A characterization of sheaves among six functor formalisms on $\mathrm{LCH}$

Marco Volpe, Ulrich Bunke

arxiv:2606.10453 v1 · 2026-06-09 · math.AT · math.CT · 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{2ILIUJILDJ5HMZ2U75TEUGVBQR}

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	2026-06-10T01:10:19.987563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2168a250b1a7a766754ff664a1aa1844e042b52c374a60b33be310bb6dff1ac

Aliases

arxiv: 2606.10453 · arxiv_version: 2606.10453v1 · doi: 10.48550/arxiv.2606.10453 · pith_short_12: 2ILIUJILDJ5H · pith_short_16: 2ILIUJILDJ5HMZ2U · pith_short_8: 2ILIUJIL

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/2ILIUJILDJ5HMZ2U75TEUGVBQR \
  | 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: d2168a250b1a7a766754ff664a1aa1844e042b52c374a60b33be310bb6dff1ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdf9c56facd622ad2ee24b4fda5734b260e31e988b4e85e502731a684345470e",
    "cross_cats_sorted": [
      "math.CT",
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-06-09T06:00:52Z",
    "title_canon_sha256": "5b3061297ed6f6a044ff71a211c2c9e17bc18df9ad79dc19bd5e93e10319a454"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10453",
    "kind": "arxiv",
    "version": 1
  }
}