Pith Number

pith:GOQJ2655

pith:2013:GOQJ26556FMLPHI64P25VQUDUL

not attested not anchored not stored refs pending

Tropical cryptography

Dima Grigoriev, Vladimir Shpilrain

arxiv:1301.1195 v1 · 2013-01-07 · cs.CR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GOQJ26556FMLPHI64P25VQUDUL}

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	2026-05-18T03:37:06.509529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33a09d7bbdf158b79d1ee3f5dac283a2deff11c2c1adb51085692a86353befc3

Aliases

arxiv: 1301.1195 · arxiv_version: 1301.1195v1 · doi: 10.48550/arxiv.1301.1195 · pith_short_12: GOQJ26556FML · pith_short_16: GOQJ26556FMLPHI6 · pith_short_8: GOQJ2655

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/GOQJ26556FMLPHI64P25VQUDUL \
  | 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: 33a09d7bbdf158b79d1ee3f5dac283a2deff11c2c1adb51085692a86353befc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec619547408ceb1294bd67641c3165702202d99c121542e9ae5a15ce1befb4c1",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2013-01-07T13:51:55Z",
    "title_canon_sha256": "5ab434a9bc61ae938d6fb52c995eea960aedc15a46050069c08e8a443090eaf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1195",
    "kind": "arxiv",
    "version": 1
  }
}