Pith Number

pith:FH4SM63N

pith:2018:FH4SM63NDKAJRHDQEUZ43VJGHE

not attested not anchored not stored refs pending

Tropical cryptography II: extensions by homomorphisms

Dima Grigoriev, Vladimir Shpilrain

arxiv:1811.06386 v1 · 2018-11-14 · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FH4SM63NDKAJRHDQEUZ43VJGHE}

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	2026-05-18T00:00:37.840765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29f9267b6d1a80989c702533cdd5263921be5445fa509738fe1c34326cc81b24

Aliases

arxiv: 1811.06386 · arxiv_version: 1811.06386v1 · doi: 10.48550/arxiv.1811.06386 · pith_short_12: FH4SM63NDKAJ · pith_short_16: FH4SM63NDKAJRHDQ · pith_short_8: FH4SM63N

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/FH4SM63NDKAJRHDQEUZ43VJGHE \
  | 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: 29f9267b6d1a80989c702533cdd5263921be5445fa509738fe1c34326cc81b24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dc780a8cc9b5232c871d0fc5e4f2d0ff5a21d7d416b9ddfbab0d5199d28461e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2018-11-14T16:31:58Z",
    "title_canon_sha256": "3569c8e80e810c4d8fbcf1faadba19db66192c827c5e8cad5e188e04934ebcd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06386",
    "kind": "arxiv",
    "version": 1
  }
}