Pith Number

pith:5SQOAKYD

pith:2015:5SQOAKYDEU5VMXC2EO4XFJRHY2

not attested not anchored not stored refs pending

Harmonic Mappings into non-negatively curved Riemannian manifolds

Irina Tsyganok, Sergey Stepanov

arxiv:1508.06418 v3 · 2015-08-26 · 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{5SQOAKYDEU5VMXC2EO4XFJRHY2}

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	2026-05-18T01:12:30.663730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eca0e02b03253b565c5a23b972a627c6bf4d543683f6e2ac550500d2995eac9d

Aliases

arxiv: 1508.06418 · arxiv_version: 1508.06418v3 · doi: 10.48550/arxiv.1508.06418 · pith_short_12: 5SQOAKYDEU5V · pith_short_16: 5SQOAKYDEU5VMXC2 · pith_short_8: 5SQOAKYD

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/5SQOAKYDEU5VMXC2EO4XFJRHY2 \
  | 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: eca0e02b03253b565c5a23b972a627c6bf4d543683f6e2ac550500d2995eac9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6034710623b841f2d279ddf07569c6b17670e58f460916271e7499cb1db494ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-08-26T09:23:53Z",
    "title_canon_sha256": "391b26b97427a00ab66ba28935582e26b3a3fb0dcac06036ea0cd373eaf054c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06418",
    "kind": "arxiv",
    "version": 3
  }
}