Pith Number

pith:CVKUTJAY

pith:2025:CVKUTJAY4LCLW3HTWOQDZ6TBC3

not attested not anchored not stored refs pending

A Classification of Six Functor Formalisms via Structured Spaces

Salash Tolan Nabaala

arxiv:2507.13114 v1 · 2025-07-17 · math.AT · math.AG · math.CT · math.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CVKUTJAY4LCLW3HTWOQDZ6TBC3}

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	2026-07-05T11:38:54.947647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

155549a418e2c4bb6cf3b3a03cfa6116fac437c20b60085802f983bf74e306ef

Aliases

arxiv: 2507.13114 · arxiv_version: 2507.13114v1 · doi: 10.48550/arxiv.2507.13114 · pith_short_12: CVKUTJAY4LCL · pith_short_16: CVKUTJAY4LCLW3HT · pith_short_8: CVKUTJAY

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/CVKUTJAY4LCLW3HTWOQDZ6TBC3 \
  | 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: 155549a418e2c4bb6cf3b3a03cfa6116fac437c20b60085802f983bf74e306ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9114d5cb96e61105ad6327b587577240a6937553447677c8b2eb2c55a2fe98bd",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT",
      "math.GN"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-07-17T13:29:43Z",
    "title_canon_sha256": "c5ba9e06301fee52de8b4d1db5d78282a046ef9e40dcf2eb2a850c166d8c8535"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13114",
    "kind": "arxiv",
    "version": 1
  }
}