Pith Number

pith:WAGRPKNR

pith:2013:WAGRPKNRAXDVZAOOYNVDYH2H4J

not attested not anchored not stored refs pending

Free actions of connected Lie groups of rank one on certain spaces

Hemant Kumar Singh, Jaspreet Kaur, Tej Bahadur Singh

arxiv:1311.6878 v1 · 2013-11-27 · 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{WAGRPKNRAXDVZAOOYNVDYH2H4J}

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	2026-05-18T03:06:05.297786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b00d17a9b105c75c81cec36a3c1f47e25811ef8a73bd3324a03fa1b54b2c67d9

Aliases

arxiv: 1311.6878 · arxiv_version: 1311.6878v1 · doi: 10.48550/arxiv.1311.6878 · pith_short_12: WAGRPKNRAXDV · pith_short_16: WAGRPKNRAXDVZAOO · pith_short_8: WAGRPKNR

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/WAGRPKNRAXDVZAOOYNVDYH2H4J \
  | 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: b00d17a9b105c75c81cec36a3c1f47e25811ef8a73bd3324a03fa1b54b2c67d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c0ed638ad327b87c9bf6985523d2630cb7c4e7ddb8df75a2980729c54b483dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-11-27T06:42:27Z",
    "title_canon_sha256": "1ee5cfc51dfc463f1ad33ddd840da23ec3ac45d0651899af0b2275166ac9e30f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6878",
    "kind": "arxiv",
    "version": 1
  }
}