Pith Number

pith:KPK2DGKZ

pith:2019:KPK2DGKZ3B5YHV2YH4IT553W34

not attested not anchored not stored refs pending

Symmetric shift-invariant subspaces and harmonic maps

Alexandru Aleman, John C. Wood, Rui Pacheco

arxiv:1908.01557 v2 · 2019-08-05 · math.FA · math.CV · 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{KPK2DGKZ3B5YHV2YH4IT553W34}

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	2026-07-05T00:24:09.283608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53d5a19959d87b83d7583f113ef776df0ed474005c791f7b8ef35b22968e2013

Aliases

arxiv: 1908.01557 · arxiv_version: 1908.01557v2 · doi: 10.48550/arxiv.1908.01557 · pith_short_12: KPK2DGKZ3B5Y · pith_short_16: KPK2DGKZ3B5YHV2Y · pith_short_8: KPK2DGKZ

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/KPK2DGKZ3B5YHV2YH4IT553W34 \
  | 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: 53d5a19959d87b83d7583f113ef776df0ed474005c791f7b8ef35b22968e2013

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0233946e28c931984247bc7d4c51dfe65e0a9e7a7fbdd38cb12711b6ba7ded0e",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-05T10:45:13Z",
    "title_canon_sha256": "b36333c0f0778663b53c1c807ea01354825db61f4e70d8ef0aa64de0831e0b7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01557",
    "kind": "arxiv",
    "version": 2
  }
}