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Pith Number

pith:YL3UKJN3

pith:2015:YL3UKJN336TE2RAXEFN75PGNHH
not attested not anchored not stored refs pending

Approximating Ricci solitons and quasi-Einstein metrics on toric surfaces

Stuart James Hall, Thomas Murphy

arxiv:1511.03854 v1 · 2015-11-12 · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YL3UKJN336TE2RAXEFN75PGNHH}

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 2026-05-18T01:27:06.645171Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c2f74525bbdfa64d4417215bfebccd39f342b9fe34373ba489bb2144ab36dd09

Aliases

arxiv: 1511.03854 · arxiv_version: 1511.03854v1 · doi: 10.48550/arxiv.1511.03854 · pith_short_12: YL3UKJN336TE · pith_short_16: YL3UKJN336TE2RAX · pith_short_8: YL3UKJN3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YL3UKJN336TE2RAXEFN75PGNHH \
  | 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: c2f74525bbdfa64d4417215bfebccd39f342b9fe34373ba489bb2144ab36dd09
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "84c923787d2e43be90815ee15bc7b8cf34df02fb85c3ccb2ff485facb7ea6182",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-12T10:54:49Z",
    "title_canon_sha256": "ba097775670a0682cb2e0119907c0f51afca4a1f4ff6268e5710bdb692ba0517"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03854",
    "kind": "arxiv",
    "version": 1
  }
}