Pith Number

pith:LYUN5OVF

pith:2015:LYUN5OVFYI4JO3WO5IHC4JXZRP

not attested not anchored not stored refs pending

Solvability of minimal graph equation under pointwise pinching condition for sectional curvatures

Esko Heinonen, Ilkka Holopainen, Jean-Baptiste Casteras

arxiv:1504.05378 v2 · 2015-04-21 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LYUN5OVFYI4JO3WO5IHC4JXZRP}

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	2026-05-18T01:13:16.811792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e28debaa5c238976eceea0e2e26f98bd8f446c451094ef516c14077c26821ad

Aliases

arxiv: 1504.05378 · arxiv_version: 1504.05378v2 · doi: 10.48550/arxiv.1504.05378 · pith_short_12: LYUN5OVFYI4J · pith_short_16: LYUN5OVFYI4JO3WO · pith_short_8: LYUN5OVF

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/LYUN5OVFYI4JO3WO5IHC4JXZRP \
  | 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: 5e28debaa5c238976eceea0e2e26f98bd8f446c451094ef516c14077c26821ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96146973fb03c8d6c4b9917768a019705d08f1d18c8f2cd21da8bd62d38923cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-21T10:34:52Z",
    "title_canon_sha256": "d99c6dc6b807eac1b5d0b6bfc3927d4a7811f4e4b7c52669a8b7c723ed6208cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05378",
    "kind": "arxiv",
    "version": 2
  }
}