Pith Number

pith:ZMD3EISQ

pith:2010:ZMD3EISQW3JULS7RKQK5XS2EA4

not attested not anchored not stored refs pending

Interval Linear Algebra

Florentin Smarandache, W. B. Vasantha Kandasamy

arxiv:1012.2602 v1 · 2010-12-08 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMD3EISQW3JULS7RKQK5XS2EA4}

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	2026-05-18T04:33:28.190289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb07b22250b6d345cbf15415dbcb4407168dc37b897de5dee29fd9fb3caad466

Aliases

arxiv: 1012.2602 · arxiv_version: 1012.2602v1 · doi: 10.48550/arxiv.1012.2602 · pith_short_12: ZMD3EISQW3JU · pith_short_16: ZMD3EISQW3JULS7R · pith_short_8: ZMD3EISQ

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/ZMD3EISQW3JULS7RKQK5XS2EA4 \
  | 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: cb07b22250b6d345cbf15415dbcb4407168dc37b897de5dee29fd9fb3caad466

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ed570721069a2c1272e964601daaad112739832a4b1b7975578a7ed144ce7ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2010-12-08T15:36:21Z",
    "title_canon_sha256": "96203d9a32eb8c04820be3e023c2b470b92e71c2460864607dad73713b313103"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2602",
    "kind": "arxiv",
    "version": 1
  }
}