Pith Number

pith:A7RORV2F

pith:2018:A7RORV2FZC2EESOSZMYRUUM6OR

not attested not anchored not stored refs pending

Cartan's Magic Formula for Simplicial Complexes

Oliver Knill

arxiv:1811.10125 v1 · 2018-11-26 · math.CA · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A7RORV2FZC2EESOSZMYRUUM6OR}

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	2026-05-17T23:59:58.624582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07e2e8d745c8b44249d2cb311a519e746498545ba3eca29e7afad2ae8fe49a95

Aliases

arxiv: 1811.10125 · arxiv_version: 1811.10125v1 · doi: 10.48550/arxiv.1811.10125 · pith_short_12: A7RORV2FZC2E · pith_short_16: A7RORV2FZC2EESOS · pith_short_8: A7RORV2F

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/A7RORV2FZC2EESOSZMYRUUM6OR \
  | 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: 07e2e8d745c8b44249d2cb311a519e746498545ba3eca29e7afad2ae8fe49a95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3a9a319606892d4e5cff9941c1230621059dce969f7743d428db7d329c481ac",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-11-26T00:27:21Z",
    "title_canon_sha256": "b80ac6ec965328d00d9f801de1ba1c03fb38cf1e45458569b4b5fb29f19dd9af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.10125",
    "kind": "arxiv",
    "version": 1
  }
}