Pith Number

pith:Y5V5VJP3

pith:2018:Y5V5VJP32OGRR7BCUEQQKMDQJU

not attested not anchored not stored refs pending

On the homotopy theory of stratified spaces

Peter J. Haine

arxiv:1811.01119 v6 · 2018-11-02 · 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{Y5V5VJP32OGRR7BCUEQQKMDQJU}

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

Stratified Homotopy Theory

Receipt and verification

First computed	2026-07-05T05:54:09.781604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c76bdaa5fbd38d18fc22a1210530704d1e66b6f88e088bbc7e0b90a460e181ed

Aliases

arxiv: 1811.01119 · arxiv_version: 1811.01119v6 · doi: 10.48550/arxiv.1811.01119 · pith_short_12: Y5V5VJP32OGR · pith_short_16: Y5V5VJP32OGRR7BC · pith_short_8: Y5V5VJP3

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/Y5V5VJP32OGRR7BCUEQQKMDQJU \
  | 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: c76bdaa5fbd38d18fc22a1210530704d1e66b6f88e088bbc7e0b90a460e181ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "281a935ffc8eca95b407f5571635bde5bfa907410e62404e47155329009bc9a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-11-02T23:05:17Z",
    "title_canon_sha256": "4451a2f3d3c746fd39012e2bb7614e5b06edd9668d53667bc294486a183149c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01119",
    "kind": "arxiv",
    "version": 6
  }
}