Pith Number

pith:RZZ3BDY7

pith:2007:RZZ3BDY73PCCZ3RWUIWGAC2P5Q

not attested not anchored not stored refs pending

Homotopy equivalences of localized aspherical complexes

A. Garv\'in, A. Murillo, A. Viruel, J. Remedios

arxiv:math/0703765 v1 · 2007-03-26 · 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{RZZ3BDY73PCCZ3RWUIWGAC2P5Q}

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	2026-05-18T01:09:15.261042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e73b08f1fdbc42cee36a22c600b4fec00477b106d0c7cba623e7f2ca1170516

Aliases

arxiv: math/0703765 · arxiv_version: math/0703765v1 · doi: 10.48550/arxiv.math/0703765 · pith_short_12: RZZ3BDY73PCC · pith_short_16: RZZ3BDY73PCCZ3RW · pith_short_8: RZZ3BDY7

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/RZZ3BDY73PCCZ3RWUIWGAC2P5Q \
  | 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: 8e73b08f1fdbc42cee36a22c600b4fec00477b106d0c7cba623e7f2ca1170516

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c4f739582cc9c38a51a997551cbf18b17ca87fb824685fcde8dec4ee55dd9d0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-03-26T16:14:01Z",
    "title_canon_sha256": "a1c8341b047f0d938afcfda68b6eb4deedcf48e8102fa6e09517852a3467263d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703765",
    "kind": "arxiv",
    "version": 1
  }
}