Pith Number

pith:WGQLQTWX

pith:2017:WGQLQTWX5P73H5WUS5I6INVS3S

not attested not anchored not stored refs pending

Double Homotopy (Co)Limits for Relative Categories

Kay Werndli

arxiv:1711.01995 v1 · 2017-11-06 · 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{WGQLQTWX5P73H5WUS5I6INVS3S}

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	2026-05-18T00:31:16.383739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1a0b84ed7ebffb3f6d49751e436b2dc814a38ddc9e9ef4c67078d28df536e06

Aliases

arxiv: 1711.01995 · arxiv_version: 1711.01995v1 · doi: 10.48550/arxiv.1711.01995 · pith_short_12: WGQLQTWX5P73 · pith_short_16: WGQLQTWX5P73H5WU · pith_short_8: WGQLQTWX

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/WGQLQTWX5P73H5WUS5I6INVS3S \
  | 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: b1a0b84ed7ebffb3f6d49751e436b2dc814a38ddc9e9ef4c67078d28df536e06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20549e4d3568b870a596b73ad023b6895f3c4057d597dd23f08cb986bbd046da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-11-06T16:31:35Z",
    "title_canon_sha256": "834bf7fd6ea7054d74f8d3fef49f17ffdab4d6be415761d6b1a28eca68bc8715"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01995",
    "kind": "arxiv",
    "version": 1
  }
}