Pith Number

pith:E7YTSAZ6

pith:2016:E7YTSAZ6B42Y6LTBPYKOMPVKWO

not attested not anchored not stored refs pending

Join and slices for strict $\infty$-categories

Dimitri Ara, Georges Maltsiniotis

arxiv:1607.00668 v4 · 2016-07-03 · 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{E7YTSAZ6B42Y6LTBPYKOMPVKWO}

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	2026-07-05T01:37:38.288973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27f139033e0f358f2e617e14e63eaab3acd79d712bba8c76da4248d73eb33afa

Aliases

arxiv: 1607.00668 · arxiv_version: 1607.00668v4 · doi: 10.48550/arxiv.1607.00668 · pith_short_12: E7YTSAZ6B42Y · pith_short_16: E7YTSAZ6B42Y6LTB · pith_short_8: E7YTSAZ6

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/E7YTSAZ6B42Y6LTBPYKOMPVKWO \
  | 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: 27f139033e0f358f2e617e14e63eaab3acd79d712bba8c76da4248d73eb33afa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cdb86894a5a73ea522f87c23a05301f6b4f86e04197a3dc3231de188792b3a9",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-07-03T18:50:46Z",
    "title_canon_sha256": "17dc369708e73d643aa8a5202286d84837a4e7167d904a91ff43e8f53c5e43a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00668",
    "kind": "arxiv",
    "version": 4
  }
}