Pith Number

pith:BP2XS7LE

pith:2026:BP2XS7LEYEFCF5PD6B7JXQZ7PE

not attested not anchored not stored refs pending

Homology manifolds via six functor formalisms

Marco Volpe, Markus Land

arxiv:2607.00236 v1 · 2026-06-30 · math.AT · math.CT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BP2XS7LEYEFCF5PD6B7JXQZ7PE}

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	2026-07-02T00:18:40.473896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bf5797d64c10a22f5e3f07e9bc33f791dea84e21b752ae07e4515289cd10941

Aliases

arxiv: 2607.00236 · arxiv_version: 2607.00236v1 · doi: 10.48550/arxiv.2607.00236 · pith_short_12: BP2XS7LEYEFC · pith_short_16: BP2XS7LEYEFCF5PD · pith_short_8: BP2XS7LE

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/BP2XS7LEYEFCF5PD6B7JXQZ7PE \
  | 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: 0bf5797d64c10a22f5e3f07e9bc33f791dea84e21b752ae07e4515289cd10941

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a566610fb0fc702fc8612880b2ffd20cccea9dc028871ad2de66ca7cb633907",
    "cross_cats_sorted": [
      "math.CT",
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-06-30T22:26:54Z",
    "title_canon_sha256": "7aebcf53cc0699110de273bd7deb54c85ce72d126e8ed5dd31b6798b2e8ed883"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00236",
    "kind": "arxiv",
    "version": 1
  }
}