Pith Number

pith:TKK4GXHC

pith:2019:TKK4GXHCODOFOCIIYBC7GJPYB4

not attested not anchored not stored refs pending

Higher Equipments, Double Colimits and Homotopy Colimits

Haderi, Redi

arxiv:1908.06201 v1 · 2019-08-16 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKK4GXHCODOFOCIIYBC7GJPYB4}

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	2026-07-04T23:58:13.454155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a95c35ce270dc570908c045f325f80f2c49aaa2a8b882a28ea609eab566fdbc

Aliases

arxiv: 1908.06201 · arxiv_version: 1908.06201v1 · doi: 10.48550/arxiv.1908.06201 · pith_short_12: TKK4GXHCODOF · pith_short_16: TKK4GXHCODOFOCII · pith_short_8: TKK4GXHC

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/TKK4GXHCODOFOCIIYBC7GJPYB4 \
  | 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: 9a95c35ce270dc570908c045f325f80f2c49aaa2a8b882a28ea609eab566fdbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daf8fd8aec9ccc4dcfe8915ba92e884433fb69419636ac1370862042bc257a42",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-08-16T22:52:44Z",
    "title_canon_sha256": "8eb8bc041bbabefbd51441f5616483452dd0a99403d4c37362ac59cea4505ad7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06201",
    "kind": "arxiv",
    "version": 1
  }
}