Pith Number

pith:XZDBL4OC

pith:2016:XZDBL4OC4SDFU7JCDAZMEQVZRS

not attested not anchored not stored refs pending

Tensor products and relation quantales

Jorge Picado, Marcel Ern\'e

arxiv:1612.05694 v1 · 2016-12-17 · math.CT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZDBL4OC4SDFU7JCDAZMEQVZRS}

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	2026-05-18T00:54:46.947970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be4615f1c2e4865a7d221832c242b98c967c6d9863403cd9869bc08a63190694

Aliases

arxiv: 1612.05694 · arxiv_version: 1612.05694v1 · doi: 10.48550/arxiv.1612.05694 · pith_short_12: XZDBL4OC4SDF · pith_short_16: XZDBL4OC4SDFU7JC · pith_short_8: XZDBL4OC

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/XZDBL4OC4SDFU7JCDAZMEQVZRS \
  | 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: be4615f1c2e4865a7d221832c242b98c967c6d9863403cd9869bc08a63190694

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed2060d79a1113d7a4f44815267ebace8891c9e2e7099ea802bb0f3c05654b3b",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-12-17T02:11:44Z",
    "title_canon_sha256": "2b522c17ba9d723dbaac4f617476413cdcb18e8d6b86f73367b88708e64d8cf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05694",
    "kind": "arxiv",
    "version": 1
  }
}