Pith Number

pith:RSVXZQNK

pith:2007:RSVXZQNKB454Q7DMU2ATWALZJC

not attested not anchored not stored refs pending

Tensor product for symmetric monoidal categories

Vincent Schmitt

arxiv:0711.0324 v2 · 2007-11-02 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RSVXZQNKB454Q7DMU2ATWALZJC}

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	2026-07-04T15:12:05.643297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cab7cc1aa0f3bc87c6ca6813b01794899fa0ba55691627ba5f87d4096a77a46

Aliases

arxiv: 0711.0324 · arxiv_version: 0711.0324v2 · doi: 10.48550/arxiv.0711.0324 · pith_short_12: RSVXZQNKB454 · pith_short_16: RSVXZQNKB454Q7DM · pith_short_8: RSVXZQNK

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/RSVXZQNKB454Q7DMU2ATWALZJC \
  | 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: 8cab7cc1aa0f3bc87c6ca6813b01794899fa0ba55691627ba5f87d4096a77a46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a6f6ba211e31f5717d99fc9340b1a6c7029a057df56f078e665cb45e4a9cef8",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2007-11-02T15:06:52Z",
    "title_canon_sha256": "8d0ed2cbeee9c25208349098ce7fa4210c67a919949d5b8af5abae95097bb07a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0324",
    "kind": "arxiv",
    "version": 2
  }
}