Pith Number

pith:NXGIDTPK

pith:2023:NXGIDTPK534HGYTLIJZHMDT3BH

not attested not anchored not stored refs pending

Stability of Homomorphisms, Coverings and Cocycles I: Equivalence

Alexander Lubotzky, Michael Chapman

arxiv:2310.17474 v2 · 2023-10-26 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NXGIDTPK534HGYTLIJZHMDT3BH}

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

Minimal Submanifolds and Waists of Locally Symmetric Spaces

Receipt and verification

First computed	2026-07-05T08:02:47.228383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dcc81cdeaeef873626b4272760e7b09fae3a5fe42a1fe29e2137ca388728369

Aliases

arxiv: 2310.17474 · arxiv_version: 2310.17474v2 · doi: 10.48550/arxiv.2310.17474 · pith_short_12: NXGIDTPK534H · pith_short_16: NXGIDTPK534HGYTL · pith_short_8: NXGIDTPK

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/NXGIDTPK534HGYTLIJZHMDT3BH \
  | 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: 6dcc81cdeaeef873626b4272760e7b09fae3a5fe42a1fe29e2137ca388728369

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "992b7c2b88b57ae47ee3109a0df43574b85e5bd395cd9b838738d1f924ab664c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-10-26T15:24:24Z",
    "title_canon_sha256": "d10c001cf987977cb271ae4b164bb58282ec20997a199a21473920441e9a6ae7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.17474",
    "kind": "arxiv",
    "version": 2
  }
}