Pith Number

pith:PABJBM6D

pith:2011:PABJBM6DMU4AVI5DRDGGXO73PV

not attested not anchored not stored refs pending

On the projective algebra of Einstein Matsumoto metrics

M. Rafie-Rad

arxiv:1109.2727 v2 · 2011-09-13 · 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{PABJBM6DMU4AVI5DRDGGXO73PV}

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	2026-05-18T03:50:35.542499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

780290b3c365380aa3a388cc6bbbfb7d58fdde0afab4667246192d7fe910d850

Aliases

arxiv: 1109.2727 · arxiv_version: 1109.2727v2 · doi: 10.48550/arxiv.1109.2727 · pith_short_12: PABJBM6DMU4A · pith_short_16: PABJBM6DMU4AVI5D · pith_short_8: PABJBM6D

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/PABJBM6DMU4AVI5DRDGGXO73PV \
  | 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: 780290b3c365380aa3a388cc6bbbfb7d58fdde0afab4667246192d7fe910d850

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f3911ff113941f5eebdfd09e3e3cf6d041c89929b7f3072d887013dd2e6094b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-13T10:01:53Z",
    "title_canon_sha256": "af11071940d339f108577b0973ad7515e57d25f01682bb64249afb0ee204f7c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2727",
    "kind": "arxiv",
    "version": 2
  }
}