Pith Number

pith:CXCHWM5U

pith:2017:CXCHWM5UQ7OBJGOQNXVKCEKDT3

not attested not anchored not stored refs pending

A Tropical F5 algorithm

Kazuhiro Yokoyama, Tristan Vaccon (XLIM-MATHIS)

arxiv:1705.05571 v1 · 2017-05-16 · cs.SC · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXCHWM5UQ7OBJGOQNXVKCEKDT3}

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	2026-05-18T00:44:22.407174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15c47b33b487dc1499d06deaa111439efb01f442ab91961f4169a9357ed9e338

Aliases

arxiv: 1705.05571 · arxiv_version: 1705.05571v1 · doi: 10.48550/arxiv.1705.05571 · pith_short_12: CXCHWM5UQ7OB · pith_short_16: CXCHWM5UQ7OBJGOQ · pith_short_8: CXCHWM5U

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/CXCHWM5UQ7OBJGOQNXVKCEKDT3 \
  | 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: 15c47b33b487dc1499d06deaa111439efb01f442ab91961f4169a9357ed9e338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd8622f72bb1084e7ababd5a70dd73e23ddacdbf49261b12447a217496188659",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2017-05-16T08:02:41Z",
    "title_canon_sha256": "83ec782af42154d2cd6af0716859520e08ed9ab10e2d5f0cc2ba6b0446d5467b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05571",
    "kind": "arxiv",
    "version": 1
  }
}