Pith Number

pith:E3XPL5EO

pith:2024:E3XPL5EOCYPGLJCJXDEDIYY2Z6

not attested not anchored not stored refs pending

2-Segal maps associated to a category with cofibrations

Tanner Nathan Carawan

arxiv:2405.11561 v1 · 2024-05-19 · 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{E3XPL5EOCYPGLJCJXDEDIYY2Z6}

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

2 papers in Pith

The decomposition space perspective

Squares K-theory and 2-Segal spaces

Receipt and verification

First computed	2026-07-05T08:20:41.653127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26eef5f48e161e65a449b8c834631acf84454f67acc6ad6a646618e010775089

Aliases

arxiv: 2405.11561 · arxiv_version: 2405.11561v1 · doi: 10.48550/arxiv.2405.11561 · pith_short_12: E3XPL5EOCYPG · pith_short_16: E3XPL5EOCYPGLJCJ · pith_short_8: E3XPL5EO

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/E3XPL5EOCYPGLJCJXDEDIYY2Z6 \
  | 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: 26eef5f48e161e65a449b8c834631acf84454f67acc6ad6a646618e010775089

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9416f4169a3106793a74b5518d9cf7a7701ae7bae007778fb253947fc99a7527",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-05-19T14:23:33Z",
    "title_canon_sha256": "b6350f03e13a8bd27ae5aaec52ce18324fed8f781e18c81a7988e8455ee2bc82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.11561",
    "kind": "arxiv",
    "version": 1
  }
}