Pith Number

pith:W3Q2HYWM

pith:2010:W3Q2HYWMMWUT3YWWQ7JFPNM3XE

not attested not anchored not stored refs pending

Innerproduct Hyperspaces

Sanjay Roy, T. K. Samanta

arxiv:1009.3483 v2 · 2010-09-17 · 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{W3Q2HYWMMWUT3YWWQ7JFPNM3XE}

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	2026-05-18T04:20:38.526714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6e1a3e2cc65a93de2d687d257b59bb91c60ad8b630fef50fddf3f2260624c35

Aliases

arxiv: 1009.3483 · arxiv_version: 1009.3483v2 · doi: 10.48550/arxiv.1009.3483 · pith_short_12: W3Q2HYWMMWUT · pith_short_16: W3Q2HYWMMWUT3YWW · pith_short_8: W3Q2HYWM

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/W3Q2HYWMMWUT3YWWQ7JFPNM3XE \
  | 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: b6e1a3e2cc65a93de2d687d257b59bb91c60ad8b630fef50fddf3f2260624c35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbe67a0765b53b766545f740b3c9523d8d962ed3f1190af6dd99216f7417a7e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2010-09-17T18:29:24Z",
    "title_canon_sha256": "5dbcecd4f4a34cf824b11525f17704a27176fcd54fedd33c445ce27067743029"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3483",
    "kind": "arxiv",
    "version": 2
  }
}