Pith Number

pith:KNW2VY2P

pith:2017:KNW2VY2PJ3S2O23BMFP5SU7V5U

not attested not anchored not stored refs pending

Generalized harmonic morphisms and horizontally weakly conformal biharmonic maps

Elsa Ghandour, Ye-Lin Ou

arxiv:1712.03593 v1 · 2017-12-10 · 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{KNW2VY2PJ3S2O23BMFP5SU7V5U}

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	2026-05-18T00:28:20.663305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

536daae34f4ee5a76b61615fd953f5ed241c50542b598ca7f2c94201940fd185

Aliases

arxiv: 1712.03593 · arxiv_version: 1712.03593v1 · doi: 10.48550/arxiv.1712.03593 · pith_short_12: KNW2VY2PJ3S2 · pith_short_16: KNW2VY2PJ3S2O23B · pith_short_8: KNW2VY2P

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/KNW2VY2PJ3S2O23BMFP5SU7V5U \
  | 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: 536daae34f4ee5a76b61615fd953f5ed241c50542b598ca7f2c94201940fd185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "972bbd614fa4945070aeb6afd435168fac364c451bba45b494ee8b01de47af51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-12-10T21:16:52Z",
    "title_canon_sha256": "1f14c1ab8a3719cef3f91359c335edb6235d724e1afac3b1f27e848e0cd7974a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03593",
    "kind": "arxiv",
    "version": 1
  }
}