Pith Number

pith:4VYVOAVV

pith:2013:4VYVOAVVB2FR2I4ABVOVJTEXP7

not attested not anchored not stored refs pending

Multivector Differential Calculus

Eckhard Hitzer

arxiv:1306.2278 v1 · 2013-06-05 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VYVOAVVB2FR2I4ABVOVJTEXP7}

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	2026-05-18T03:21:21.937181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5715702b50e8b1d23800d5d54cc977fdefed4dbb97668fd656b8b0ab5897f19

Aliases

arxiv: 1306.2278 · arxiv_version: 1306.2278v1 · doi: 10.48550/arxiv.1306.2278 · pith_short_12: 4VYVOAVVB2FR · pith_short_16: 4VYVOAVVB2FR2I4A · pith_short_8: 4VYVOAVV

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/4VYVOAVVB2FR2I4ABVOVJTEXP7 \
  | 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: e5715702b50e8b1d23800d5d54cc977fdefed4dbb97668fd656b8b0ab5897f19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9b3e2d1182cb96b63449a9e9f7fd045f36e2269f1d1c754b1fd80afb4fa7e23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2013-06-05T01:17:00Z",
    "title_canon_sha256": "b184a4b12869e37bfe4eee3ef418e6e2aa19a0b77615231ac53cc0a7d51879fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2278",
    "kind": "arxiv",
    "version": 1
  }
}