Pith Number

pith:F4JPYZZF

pith:2026:F4JPYZZFFNP7I3PR4HJRW2GJ5V

not attested not anchored not stored refs pending

A direction functor approach to the cohomology of small categories

Andrea Montoli, Arnaud Duvieusart, Stefano Ambra

arxiv:2608.07380 v1 · 2026-08-07 · 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{F4JPYZZFFNP7I3PR4HJRW2GJ5V}

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	2026-08-10T01:15:12.525947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f12fc67252b5ff46df1e1d31b68c9ed5513954e8eb1b8396171185d47aac606

Aliases

arxiv: 2608.07380 · arxiv_version: 2608.07380v1 · doi: 10.48550/arxiv.2608.07380 · pith_short_12: F4JPYZZFFNP7 · pith_short_16: F4JPYZZFFNP7I3PR · pith_short_8: F4JPYZZF

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/F4JPYZZFFNP7I3PR4HJRW2GJ5V \
  | 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: 2f12fc67252b5ff46df1e1d31b68c9ed5513954e8eb1b8396171185d47aac606

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb173e65ae87412e3f66ed6c25e4d8262d13e73c1650f973ae4612f228822f61",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2026-08-07T16:22:18Z",
    "title_canon_sha256": "1d223273b93abb7eca1e715c74790f3668546955b1400197d845561045f2f93b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07380",
    "kind": "arxiv",
    "version": 1
  }
}