Pith Number

pith:VRRM7NX6

pith:2011:VRRM7NX6EQOYXM5EP7MJL3W64U

not attested not anchored not stored refs pending

On the tensor product of bimodule categories over Hopf algebras

Martin Mombelli

arxiv:1111.1610 v2 · 2011-11-07 · 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{VRRM7NX6EQOYXM5EP7MJL3W64U}

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	2026-05-18T03:58:26.277414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac62cfb6fe241d8bb3a47fd895eedee505d30e607d54dc30c7931f7f21acbd08

Aliases

arxiv: 1111.1610 · arxiv_version: 1111.1610v2 · doi: 10.48550/arxiv.1111.1610 · pith_short_12: VRRM7NX6EQOY · pith_short_16: VRRM7NX6EQOYXM5E · pith_short_8: VRRM7NX6

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/VRRM7NX6EQOYXM5EP7MJL3W64U \
  | 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: ac62cfb6fe241d8bb3a47fd895eedee505d30e607d54dc30c7931f7f21acbd08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03e091f99bcd0a67a1b729c00b212ef3dd7907903d8f0f90cec7a7ba5df1d757",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-11-07T15:13:14Z",
    "title_canon_sha256": "7ab2c15c929b326e661912839cd613892528c10bc0fc101b45d387d8fbe5d45c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1610",
    "kind": "arxiv",
    "version": 2
  }
}