Pith Number

pith:RZQ3FW3O

pith:2012:RZQ3FW3OAR7DAKWRRL6F3KV2Y5

not attested not anchored not stored refs pending

Solving a sparse systems using linear algebra

C\'esar Massri

arxiv:1211.3715 v2 · 2012-11-15 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZQ3FW3OAR7DAKWRRL6F3KV2Y5}

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	2026-05-18T01:35:43.791914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e61b2db6e047e302ad18afc5daabac758a53dfe5a69bc09fb77151d3544f750

Aliases

arxiv: 1211.3715 · arxiv_version: 1211.3715v2 · doi: 10.48550/arxiv.1211.3715 · pith_short_12: RZQ3FW3OAR7D · pith_short_16: RZQ3FW3OAR7DAKWR · pith_short_8: RZQ3FW3O

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/RZQ3FW3OAR7DAKWRRL6F3KV2Y5 \
  | 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: 8e61b2db6e047e302ad18afc5daabac758a53dfe5a69bc09fb77151d3544f750

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c203a0fb568b614f70878fdc0822031fcc43ad4ac84c66efca676867643f2e5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-15T20:08:13Z",
    "title_canon_sha256": "b6d261df3265eb04b1de3889bb31c6b0fbba8ae8b8ede45c5484715731b13c72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3715",
    "kind": "arxiv",
    "version": 2
  }
}