Pith Number

pith:2CLHG5EP

pith:2015:2CLHG5EPBVJFICW7RIUA7ACEBW

not attested not anchored not stored refs pending

Lax colimits and free fibrations in $\infty$-categories

David Gepner, Rune Haugseng, Thomas Nikolaus

arxiv:1501.02161 v3 · 2015-01-09 · 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{2CLHG5EPBVJFICW7RIUA7ACEBW}

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

Higher Equipments, Double Colimits and Homotopy Colimits

Receipt and verification

First computed	2026-07-05T01:48:03.772620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d09673748f0d52540adf8a280f80440d803d06b8037b9d43343f450b9398b4db

Aliases

arxiv: 1501.02161 · arxiv_version: 1501.02161v3 · doi: 10.48550/arxiv.1501.02161 · pith_short_12: 2CLHG5EPBVJF · pith_short_16: 2CLHG5EPBVJFICW7 · pith_short_8: 2CLHG5EP

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/2CLHG5EPBVJFICW7RIUA7ACEBW \
  | 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: d09673748f0d52540adf8a280f80440d803d06b8037b9d43343f450b9398b4db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d501725ce284b9d0b13d2eaafc8b63b5896d1f95c8194aa8be4e40c7d341831a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-01-09T14:49:03Z",
    "title_canon_sha256": "36b1361496af82e7314a3a6136995825d1f4c986b0286488fe5dcd4d18d2a43a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02161",
    "kind": "arxiv",
    "version": 3
  }
}