Pith Number

pith:POXKJHHJ

pith:2026:POXKJHHJEEQZ47QEQWPC2JRCH5

not attested not anchored not stored refs pending

Differential calculus on Hopf--Galois extension via the Durdevi\'c braiding

Arnab Bhattacharjee

arxiv:2601.17760 v3 · 2026-01-25 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{POXKJHHJEEQZ47QEQWPC2JRCH5}

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	2026-05-20T00:05:41.055840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7baea49ce921219e7e04859e2d26223f6675a2d28cd42758585e25ed027d81da

Aliases

arxiv: 2601.17760 · arxiv_version: 2601.17760v3 · doi: 10.48550/arxiv.2601.17760 · pith_short_12: POXKJHHJEEQZ · pith_short_16: POXKJHHJEEQZ47QE · pith_short_8: POXKJHHJ

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/POXKJHHJEEQZ47QEQWPC2JRCH5 \
  | 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: 7baea49ce921219e7e04859e2d26223f6675a2d28cd42758585e25ed027d81da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a92484a653c015beaa3b9c80930dac7631a5b778ddba34eb92ca533901093186",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2026-01-25T09:15:22Z",
    "title_canon_sha256": "a4e02c4ccc0c69ddfaa2a0ae0f7f3fe1bb55e1f3e0cbde07d653c5fe1f7f6729"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.17760",
    "kind": "arxiv",
    "version": 3
  }
}