Pith Number

pith:7DXJ7BCG

pith:2020:7DXJ7BCGZ5CUIOLZXZJVZOK6I5

not attested not anchored not stored refs pending

On distributivity in higher algebra I: The universal property of bispans

Elden Elmanto, Rune Haugseng

arxiv:2010.15722 v3 · 2020-10-29 · math.CT · math.AG · 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{7DXJ7BCGZ5CUIOLZXZJVZOK6I5}

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.

Cited by

1 paper in Pith

Equivariant operads, symmetric sequences, and Boardman-Vogt tensor products

Receipt and verification

First computed	2026-07-05T03:35:26.673891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ee9f8446cf45443979be535cb95e4773bbb16bb95caf05f78f52ad073d2703

Aliases

arxiv: 2010.15722 · arxiv_version: 2010.15722v3 · doi: 10.48550/arxiv.2010.15722 · pith_short_12: 7DXJ7BCGZ5CU · pith_short_16: 7DXJ7BCGZ5CUIOLZ · pith_short_8: 7DXJ7BCG

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/7DXJ7BCGZ5CUIOLZXZJVZOK6I5 \
  | 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: f8ee9f8446cf45443979be535cb95e4773bbb16bb95caf05f78f52ad073d2703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d7154a74d614de48a56173193c0aa49014a9823840f585e9e13523ac48f05b4",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2020-10-29T16:11:18Z",
    "title_canon_sha256": "ae9be7a06de7e6a2e7936460bb2eaacffa9ca4367d1cce14b4ebc8e3e4dfe9c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.15722",
    "kind": "arxiv",
    "version": 3
  }
}