Pith Number

pith:HISG7XD4

pith:2015:HISG7XD4A2TISQK7HRB7QYZAPP

not attested not anchored not stored refs pending

On the Hodge-type decomposition and cohomolgy groups of $k$-Cauchy-Fueter complexes over domains in the quaternionic space

Der-Chen Chang, Irina Markina, Wei Wang

arxiv:1508.02875 v1 · 2015-08-12 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HISG7XD4A2TISQK7HRB7QYZAPP}

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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.

Receipt and verification

First computed	2026-05-18T01:12:08.238923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a246fdc7c06a689415f3c43f863207bd24ccff41adbe6840f3a5f8dc0b271cf

Aliases

arxiv: 1508.02875 · arxiv_version: 1508.02875v1 · doi: 10.48550/arxiv.1508.02875 · pith_short_12: HISG7XD4A2TI · pith_short_16: HISG7XD4A2TISQK7 · pith_short_8: HISG7XD4

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/HISG7XD4A2TISQK7HRB7QYZAPP \
  | 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: 3a246fdc7c06a689415f3c43f863207bd24ccff41adbe6840f3a5f8dc0b271cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8012da2bb6fe4f5977b98a3040eb652020e5a822784704ebd27adab76e511011",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-08-12T11:10:26Z",
    "title_canon_sha256": "442e4c0d196217dceac8748deeae3082a4d29c4021434859a9522a12fc0d2afe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02875",
    "kind": "arxiv",
    "version": 1
  }
}