pith. sign in
Pith Number

pith:ZA6MTOSJ

pith:2008:ZA6MTOSJGHAV4KXYC3VFXNDOXV
not attested not anchored not stored refs pending

Inverse Vector Operators

Shaon Sahoo

arxiv:0804.2239 v3 · 2008-04-14 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZA6MTOSJGHAV4KXYC3VFXNDOXV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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 2026-05-18T04:41:54.963846Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c83cc9ba4931c15e2af816ea5bb46ebd74ba39b61750ba47b5bc7efdbef1283e

Aliases

arxiv: 0804.2239 · arxiv_version: 0804.2239v3 · doi: 10.48550/arxiv.0804.2239 · pith_short_12: ZA6MTOSJGHAV · pith_short_16: ZA6MTOSJGHAV4KXY · pith_short_8: ZA6MTOSJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZA6MTOSJGHAV4KXYC3VFXNDOXV \
  | 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: c83cc9ba4931c15e2af816ea5bb46ebd74ba39b61750ba47b5bc7efdbef1283e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "23f9b78a3dced0265b2109938b953d4d25712eeaab159777bd6ed9a21274a6c8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-04-14T18:27:21Z",
    "title_canon_sha256": "236926ba30dcf168132d70aeddfca607177cd29e27350da44b394ee116124690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.2239",
    "kind": "arxiv",
    "version": 3
  }
}