Pith Number

pith:KXIFKEP6

pith:2016:KXIFKEP6ZQVSNIR6V3CXAFIZFF

not attested not anchored not stored refs pending

On the univalence of polyharmonic mappings

Layan El Hajj

arxiv:1610.01083 v1 · 2016-10-04 · math.CV · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KXIFKEP6ZQVSNIR6V3CXAFIZFF}

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	2026-05-18T01:03:12.464537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55d05511fecc2b26a23eaec5701519294220d6822b66406437520b2700594784

Aliases

arxiv: 1610.01083 · arxiv_version: 1610.01083v1 · doi: 10.48550/arxiv.1610.01083 · pith_short_12: KXIFKEP6ZQVS · pith_short_16: KXIFKEP6ZQVSNIR6 · pith_short_8: KXIFKEP6

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/KXIFKEP6ZQVSNIR6V3CXAFIZFF \
  | 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: 55d05511fecc2b26a23eaec5701519294220d6822b66406437520b2700594784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c8f6dab5f412bfbe096905d306f497ef1dc4926138abc498fb6986f4c3c3cb1",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-10-04T16:45:42Z",
    "title_canon_sha256": "1b6260a570929bb27272c33cf16517af6ddfebd4b65e4e7a4935e125efd55c45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01083",
    "kind": "arxiv",
    "version": 1
  }
}