Pith Number

pith:CH7RWRCL

pith:2022:CH7RWRCLD3RTO4C3EWI6CMTUX3

not attested not anchored not stored refs pending

Comodule theories in Grothendieck categories and relative Hopf objects

Abhishek Banerjee, Mamta Balodi, Surjeet Kour

arxiv:2206.15337 v2 · 2022-06-30 · math.RA · 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{CH7RWRCLD3RTO4C3EWI6CMTUX3}

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	2026-07-05T06:21:28.267812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11ff1b444b1ee337705b2591e13274bec3d4c1093f46b542b9fa6f50e4228f42

Aliases

arxiv: 2206.15337 · arxiv_version: 2206.15337v2 · doi: 10.48550/arxiv.2206.15337 · pith_short_12: CH7RWRCLD3RT · pith_short_16: CH7RWRCLD3RTO4C3 · pith_short_8: CH7RWRCL

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/CH7RWRCLD3RTO4C3EWI6CMTUX3 \
  | 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: 11ff1b444b1ee337705b2591e13274bec3d4c1093f46b542b9fa6f50e4228f42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b8eabd7eda3891d9095de1e0e06375b592e7e45735d842914b1d49ffa2ad364",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2022-06-30T15:11:52Z",
    "title_canon_sha256": "acd9ba25e47fb68860efbda523edda3ecff1c2095c7cb92633a19a96c460b01a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.15337",
    "kind": "arxiv",
    "version": 2
  }
}