Pith Number

pith:4LHUS4IC

pith:2001:4LHUS4ICTRKOGMZWHZK7PXZYO7

not attested not anchored not stored refs pending

Hypercovers in topology

Daniel C. Isaksen, Daniel Dugger

arxiv:math/0111287 v1 · 2001-11-27 · 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{4LHUS4ICTRKOGMZWHZK7PXZYO7}

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

Unstable motivic and real-\'etale homotopy theory

Receipt and verification

First computed	2026-07-04T14:35:46.664196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2cf4971029c54e333363e55f7df3877cf29164bf6ce6da6ae8c42c556b7c64b

Aliases

arxiv: math/0111287 · arxiv_version: math/0111287v1 · doi: 10.48550/arxiv.math/0111287 · pith_short_12: 4LHUS4ICTRKO · pith_short_16: 4LHUS4ICTRKOGMZW · pith_short_8: 4LHUS4IC

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/4LHUS4ICTRKOGMZWHZK7PXZYO7 \
  | 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: e2cf4971029c54e333363e55f7df3877cf29164bf6ce6da6ae8c42c556b7c64b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd5d58f1a002c202d19aa18c32f2e12d6cb52ca89d4bcff8d2ca10f95269c0b9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2001-11-27T20:52:24Z",
    "title_canon_sha256": "6c01081c6cfcbb73086ef8eae38e1807b702ddf25a4c48f3b280a20bb2953220"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0111287",
    "kind": "arxiv",
    "version": 1
  }
}