Pith Number

pith:FCNKOR2W

pith:2017:FCNKOR2WYRRCUSE4QLXIZILBOH

not attested not anchored not stored refs pending

A pictorial introduction to differential geometry, leading to Maxwell's equations as three pictures

Jonathan Gratus

arxiv:1709.08492 v1 · 2017-09-21 · math.DG · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCNKOR2WYRRCUSE4QLXIZILBOH}

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	2026-05-18T00:34:25.487128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

289aa74756c4622a489c82ee8ca16171fbae8bb967d639013622c39b42338c5d

Aliases

arxiv: 1709.08492 · arxiv_version: 1709.08492v1 · doi: 10.48550/arxiv.1709.08492 · pith_short_12: FCNKOR2WYRRC · pith_short_16: FCNKOR2WYRRCUSE4 · pith_short_8: FCNKOR2W

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/FCNKOR2WYRRCUSE4QLXIZILBOH \
  | 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: 289aa74756c4622a489c82ee8ca16171fbae8bb967d639013622c39b42338c5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83fc4622fa6dd56d9b870607234d1c68ff6ca471f6e754509402c3c529e0995f",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-09-21T13:58:16Z",
    "title_canon_sha256": "bbfd4218c625d8c913d6efdfb6b1a3874be3581f9ce85ba6a6054a05bbd16947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08492",
    "kind": "arxiv",
    "version": 1
  }
}