Pith Number

pith:S7SPHATX

pith:2018:S7SPHATXJGPCN4TMBT4D42FT66

not attested not anchored not stored refs pending

Harmonic maps and shift-invariant subspaces

Alexandru Aleman, John C. Wood, Rui Pacheco

arxiv:1812.09379 v3 · 2018-12-21 · math.FA · 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{S7SPHATXJGPCN4TMBT4D42FT66}

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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.

Cited by

1 paper in Pith

Symmetric shift-invariant subspaces and harmonic maps

Receipt and verification

First computed	2026-07-05T00:11:55.831906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97e4f38277499e26f26c0cf83e68b3f795ccbfb38ffff7ff77c55e3446fa81e4

Aliases

arxiv: 1812.09379 · arxiv_version: 1812.09379v3 · doi: 10.48550/arxiv.1812.09379 · pith_short_12: S7SPHATXJGPC · pith_short_16: S7SPHATXJGPCN4TM · pith_short_8: S7SPHATX

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/S7SPHATXJGPCN4TMBT4D42FT66 \
  | 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: 97e4f38277499e26f26c0cf83e68b3f795ccbfb38ffff7ff77c55e3446fa81e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5324a29546693cac5753bea075692263ad4382e576bcc3ea469bc211540da20",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-21T21:42:59Z",
    "title_canon_sha256": "2da9206bb7d60f8fbf247627860fbb7b6b3afdc661f05cdfe656500162a9c310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09379",
    "kind": "arxiv",
    "version": 3
  }
}