pith. sign in
Pith Number

pith:MMDVAFK3

pith:2016:MMDVAFK3CMGVDEHHJV4VC6ZVKG
not attested not anchored not stored refs pending

From the K\"ahler-Ricci flow to moving free boundaries and shocks

Chinh H. Lu, Robert J. Berman

arxiv:1604.03259 v1 · 2016-04-12 · math.DG · math-ph · math.AP · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MMDVAFK3CMGVDEHHJV4VC6ZVKG}

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 2026-05-18T01:17:15.889301Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

630750155b130d5190e74d79517b35519a757fdef4089d25f70f80c7f0a91990

Aliases

arxiv: 1604.03259 · arxiv_version: 1604.03259v1 · doi: 10.48550/arxiv.1604.03259 · pith_short_12: MMDVAFK3CMGV · pith_short_16: MMDVAFK3CMGVDEHH · pith_short_8: MMDVAFK3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MMDVAFK3CMGVDEHHJV4VC6ZVKG \
  | 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: 630750155b130d5190e74d79517b35519a757fdef4089d25f70f80c7f0a91990
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9bd8925b41925a32c1dfa30c5f7ed06ca2b6f0a9320ec63c7ef69b3855669507",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-04-12T06:43:42Z",
    "title_canon_sha256": "4e7ece342bf92f9a0845caa811e512a1b22e2acd08e838b5b583e0a637a6f67d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03259",
    "kind": "arxiv",
    "version": 1
  }
}