Pith Number

pith:2E76X7LP

pith:2011:2E76X7LPG54RRAUI2RI4N6RUWU

not attested not anchored not stored refs pending

Homogeneous spaces, dynamics, cosmology: Geometric flows and rational dynamics

Abdelghani Zeghib (UMPA-ENSL)

arxiv:1106.4720 v2 · 2011-06-23 · math.DG · 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{2E76X7LPG54RRAUI2RI4N6RUWU}

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	2026-05-18T04:19:22.859672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d13febfd6f3779188288d451c6fa34b50a87633ca3565c5d8b8db6bedb0ebf0a

Aliases

arxiv: 1106.4720 · arxiv_version: 1106.4720v2 · doi: 10.48550/arxiv.1106.4720 · pith_short_12: 2E76X7LPG54R · pith_short_16: 2E76X7LPG54RRAUI · pith_short_8: 2E76X7LP

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/2E76X7LPG54RRAUI2RI4N6RUWU \
  | 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: d13febfd6f3779188288d451c6fa34b50a87633ca3565c5d8b8db6bedb0ebf0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abf1083c9f7de05e18b2fb562c0ec9ba72a758113aad022ef55327c7e5b10084",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-06-23T13:54:01Z",
    "title_canon_sha256": "549875465961864479be6ed562aef358802bc51a798aa1913db81d7add5ea788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4720",
    "kind": "arxiv",
    "version": 2
  }
}