Pith Number

pith:PZUGONFY

pith:2016:PZUGONFYAARGG3XCCKDF4SLF43

not attested not anchored not stored refs pending

L-Infinity optimization in tropical geometry and phylogenetics

Colby Long, Daniel Irving Bernstein

arxiv:1606.03702 v2 · 2016-06-12 · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZUGONFYAARGG3XCCKDF4SLF43}

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	2026-05-18T00:50:29.491934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e686734b80022636ee212865e4965e6ee74f28ec26c6ef28452dda3fbb59467

Aliases

arxiv: 1606.03702 · arxiv_version: 1606.03702v2 · doi: 10.48550/arxiv.1606.03702 · pith_short_12: PZUGONFYAARG · pith_short_16: PZUGONFYAARGG3XC · pith_short_8: PZUGONFY

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/PZUGONFYAARGG3XCCKDF4SLF43 \
  | 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: 7e686734b80022636ee212865e4965e6ee74f28ec26c6ef28452dda3fbb59467

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e167103e903761b778a8dc63c561e4c7e2993d75863463f813da78676e91476",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-12T12:41:32Z",
    "title_canon_sha256": "6de38fd68b702c09743bd6d0d3491f7853d007cf29156449ac351323a4eda6da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03702",
    "kind": "arxiv",
    "version": 2
  }
}