Pith Number

pith:PUMHSHFN

pith:2016:PUMHSHFNKLHIXHGDWC4XGAMK4H

not attested not anchored not stored refs pending

Orthogonality in Generalized Minkowski Spaces

Thomas Jahn

arxiv:1605.02966 v4 · 2016-05-10 · math.MG · math.FA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PUMHSHFNKLHIXHGDWC4XGAMK4H}

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	2026-05-18T00:40:13.930365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d18791cad52ce8b9cc3b0b973018ae1e98f59c8debb574b034fe9d7f013f9b5

Aliases

arxiv: 1605.02966 · arxiv_version: 1605.02966v4 · doi: 10.48550/arxiv.1605.02966 · pith_short_12: PUMHSHFNKLHI · pith_short_16: PUMHSHFNKLHIXHGD · pith_short_8: PUMHSHFN

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/PUMHSHFNKLHIXHGDWC4XGAMK4H \
  | 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: 7d18791cad52ce8b9cc3b0b973018ae1e98f59c8debb574b034fe9d7f013f9b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ec812b3b0cbc59934514b038198e2c0b7be047bc5dcf617ab9d25bd9b974e49",
    "cross_cats_sorted": [
      "math.FA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-05-10T12:10:14Z",
    "title_canon_sha256": "612ee21e0fb98062c8a72b61f82d70b2cb15ce81bf33dfafe285bf65477f39e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02966",
    "kind": "arxiv",
    "version": 4
  }
}