Pith Number

pith:X654GIS3

pith:2011:X654GIS3XDEXCO3CATGP4QL7EA

not attested not anchored not stored refs pending

Interval Semigroups

Florentin Smarandache, W. B. Vasantha Kandasamy

arxiv:1102.2196 v1 · 2011-02-08 · 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{X654GIS3XDEXCO3CATGP4QL7EA}

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	2026-05-18T04:29:34.073270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfbbc3225bb8c9713b6204ccfe417f2005953669039e080c569f3363a3ada5f8

Aliases

arxiv: 1102.2196 · arxiv_version: 1102.2196v1 · doi: 10.48550/arxiv.1102.2196 · pith_short_12: X654GIS3XDEX · pith_short_16: X654GIS3XDEXCO3C · pith_short_8: X654GIS3

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/X654GIS3XDEXCO3CATGP4QL7EA \
  | 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: bfbbc3225bb8c9713b6204ccfe417f2005953669039e080c569f3363a3ada5f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29c6d60ee1eab2c2427039581604325828fe110b10c76ea2c830295e28f2e950",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2011-02-08T14:22:25Z",
    "title_canon_sha256": "e61ecc33c2965db67dbecdec776c2c8d74799297cdb17e7a259fd0d0746364eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2196",
    "kind": "arxiv",
    "version": 1
  }
}