Pith Number

pith:J2KDMYJM

pith:2015:J2KDMYJMFQ5TRZYE4TL7NGMNBD

not attested not anchored not stored refs pending

Coordinate free integrals in Geometric Calculus

Timo Alho

arxiv:1509.08403 v2 · 2015-09-28 · math.DG · math-ph · math.MP · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J2KDMYJMFQ5TRZYE4TL7NGMNBD}

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	2026-05-18T01:04:41.646111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e9436612c2c3b38e704e4d7f6998d08efc82b1b29d7b3f50219ce2f39d608fa

Aliases

arxiv: 1509.08403 · arxiv_version: 1509.08403v2 · doi: 10.48550/arxiv.1509.08403 · pith_short_12: J2KDMYJMFQ5T · pith_short_16: J2KDMYJMFQ5TRZYE · pith_short_8: J2KDMYJM

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/J2KDMYJMFQ5TRZYE4TL7NGMNBD \
  | 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: 4e9436612c2c3b38e704e4d7f6998d08efc82b1b29d7b3f50219ce2f39d608fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c9b6d67086b821da86fdae938f4f1e0f11d4f9e0c8f954bfebb274cfa6924d6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-09-28T17:23:51Z",
    "title_canon_sha256": "8a60e42544dd297070d5d00a32eb57f7cb7876cc6adcad735c87a4f9d5ba99eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08403",
    "kind": "arxiv",
    "version": 2
  }
}