Pith Number

pith:IG3GETHN

pith:2014:IG3GETHN5PTQALJ232VNZIU6GW

not attested not anchored not stored refs pending

Harmonic spheres in outer symmetric spaces, their canonical elements and Weierstrass type representations

N. Correia, R. Pacheco

arxiv:1412.8348 v3 · 2014-12-29 · 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{IG3GETHN5PTQALJ232VNZIU6GW}

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	2026-05-18T01:19:16.212551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41b6624cedebe7002d3adeaadca29e3584cf59b4118a836ae3fdd057e9e0df54

Aliases

arxiv: 1412.8348 · arxiv_version: 1412.8348v3 · doi: 10.48550/arxiv.1412.8348 · pith_short_12: IG3GETHN5PTQ · pith_short_16: IG3GETHN5PTQALJ2 · pith_short_8: IG3GETHN

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/IG3GETHN5PTQALJ232VNZIU6GW \
  | 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: 41b6624cedebe7002d3adeaadca29e3584cf59b4118a836ae3fdd057e9e0df54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4202fca0c10d6d09f7168203ce0943bc427c4d6bc5ea44076b7ca36682662dcf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-29T14:10:02Z",
    "title_canon_sha256": "8e372a76a643445b9829fb19faaa59590759eb7e6c81409a726fc63cb3c8dd87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8348",
    "kind": "arxiv",
    "version": 3
  }
}