Pith Number

pith:ZGLQELEK

pith:2024:ZGLQELEKPW7LOHV4WNRD427KCR

not attested not anchored not stored refs pending

Path spaces of pushouts

David W\"arn

arxiv:2402.12339 v2 · 2024-02-19 · 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{ZGLQELEKPW7LOHV4WNRD427KCR}

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

Delooping presented groups in homotopy type theory

Receipt and verification

First computed	2026-07-05T11:48:45.355626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c997022c8a7dbeb71ebcb3623e6bea145926a02182792591cec82d9f75160126

Aliases

arxiv: 2402.12339 · arxiv_version: 2402.12339v2 · doi: 10.48550/arxiv.2402.12339 · pith_short_12: ZGLQELEKPW7L · pith_short_16: ZGLQELEKPW7LOHV4 · pith_short_8: ZGLQELEK

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/ZGLQELEKPW7LOHV4WNRD427KCR \
  | 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: c997022c8a7dbeb71ebcb3623e6bea145926a02182792591cec82d9f75160126

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1400fb9255c3214fdcf12cac19b8b5c6fa54a2396de32e38c020627853d855b",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-02-19T18:11:58Z",
    "title_canon_sha256": "4ad165bf4939cc20968db2091969291de7675c8bf07f18ffac2c74e3b9e3b084"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.12339",
    "kind": "arxiv",
    "version": 2
  }
}