Pith Number

pith:T272TUXM

pith:2007:T272TUXMK3ZD4QW7SWRHQ4XPYW

not attested not anchored not stored refs pending

Geometric and Extensor Algebras and the Differential Geometry of Arbitrary Manifolds

A. M. Moya, V. V. Fernandez, W. A. Rodrigues Jr

arxiv:math/0703094 v2 · 2007-03-03 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T272TUXMK3ZD4QW7SWRHQ4XPYW}

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	2026-05-18T01:38:23.266740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ebfa9d2ec56f23e42df95a27872efc58609a8f93e6f1aa50c6329c7f8cdddcc

Aliases

arxiv: math/0703094 · arxiv_version: math/0703094v2 · doi: 10.48550/arxiv.math/0703094 · pith_short_12: T272TUXMK3ZD · pith_short_16: T272TUXMK3ZD4QW7 · pith_short_8: T272TUXM

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/T272TUXMK3ZD4QW7SWRHQ4XPYW \
  | 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: 9ebfa9d2ec56f23e42df95a27872efc58609a8f93e6f1aa50c6329c7f8cdddcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "253110ce209d5d2e8e88178a53bdb87810cbbe82f1d972da55f44ac7c990d7de",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-03-03T18:07:33Z",
    "title_canon_sha256": "a937f9dd940a317dffb56137b769720560eea089c7a11ff7a9f1f6411b0d15c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703094",
    "kind": "arxiv",
    "version": 2
  }
}