Pith Number

pith:G63F2SJQ

pith:2018:G63F2SJQAQORITULCMJ67LRVNK

not attested not anchored not stored refs pending

GH-stability and Spectral Decomposition for Group Actions

Abdul Gaffar Khan, Pramod Das, Tarun Das

arxiv:1804.05920 v3 · 2018-04-16 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G63F2SJQAQORITULCMJ67LRVNK}

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	2026-05-17T23:59:01.845193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37b65d4930041d144e8b1313efae356a86bb73dec6da41758f0f8057f08e2b24

Aliases

arxiv: 1804.05920 · arxiv_version: 1804.05920v3 · doi: 10.48550/arxiv.1804.05920 · pith_short_12: G63F2SJQAQOR · pith_short_16: G63F2SJQAQORITUL · pith_short_8: G63F2SJQ

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/G63F2SJQAQORITULCMJ67LRVNK \
  | 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: 37b65d4930041d144e8b1313efae356a86bb73dec6da41758f0f8057f08e2b24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf7b76f9e999baf783dc9ef6c84d558f682ef0a749f7bdc245bc602de59a1fe6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-04-16T20:03:15Z",
    "title_canon_sha256": "12af0b072bf4b6e1f1a2c98cc3a5e2f0f9c3337fd2255b8ee92d1fa765ab0398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05920",
    "kind": "arxiv",
    "version": 3
  }
}