Pith Number

pith:BKS6ZXD2

pith:2025:BKS6ZXD2CRT3E23HWEGC7O3LO5

not attested not anchored not stored refs pending

Extensions and Applications of Bredon's Trick in Geometric and Topological Contexts

Mauricio Angel

arxiv:2507.04512 v1 · 2025-07-06 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKS6ZXD2CRT3E23HWEGC7O3LO5}

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	2026-07-05T11:32:49.133377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aa5ecdc7a1467b26b67b10c2fbb6b777f4fb08c8e8fd9f1c6f7beba3c686d5d

Aliases

arxiv: 2507.04512 · arxiv_version: 2507.04512v1 · doi: 10.48550/arxiv.2507.04512 · pith_short_12: BKS6ZXD2CRT3 · pith_short_16: BKS6ZXD2CRT3E23H · pith_short_8: BKS6ZXD2

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/BKS6ZXD2CRT3E23HWEGC7O3LO5 \
  | 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: 0aa5ecdc7a1467b26b67b10c2fbb6b777f4fb08c8e8fd9f1c6f7beba3c686d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22bd96960dad05edb679b99b8c4aa515ddacc62137f342818b18585d2716f213",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-07-06T19:17:18Z",
    "title_canon_sha256": "d63050ab3db98e6e1382f1bf05c5f29db205147f78226c49adeae50e1717d0d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04512",
    "kind": "arxiv",
    "version": 1
  }
}