Pith Number

pith:3IZANQBH

pith:2011:3IZANQBHFCGXXHTOQOV5F4RG7Q

not attested not anchored not stored refs pending

Dynamical Equations and Lagrange--Ricci Flow Evolution on Prolongation Lie Algebroids

Lauren\c{t}iu Bubuianu, Sergiu I. Vacaru

arxiv:1108.4333 v3 · 2011-08-22 · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3IZANQBHFCGXXHTOQOV5F4RG7Q}

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	2026-05-17T23:53:01.829775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da3206c027288d7b9e6e83abd2f226fc3a09bf167dddaab2aad3aa7d423d14c7

Aliases

arxiv: 1108.4333 · arxiv_version: 1108.4333v3 · doi: 10.48550/arxiv.1108.4333 · pith_short_12: 3IZANQBHFCGX · pith_short_16: 3IZANQBHFCGXXHTO · pith_short_8: 3IZANQBH

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/3IZANQBHFCGXXHTOQOV5F4RG7Q \
  | 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: da3206c027288d7b9e6e83abd2f226fc3a09bf167dddaab2aad3aa7d423d14c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d6a7899feb2f8d4ba3fedb960abb604939a2919a7b149e611e8f8dc35289ae0",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-08-22T14:48:25Z",
    "title_canon_sha256": "6b3ef3c153ab473e6d44f1a90a606be5460e47c91e34d909f60a285156af087d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4333",
    "kind": "arxiv",
    "version": 3
  }
}