Pith Number

pith:3IFEDXG7

pith:2015:3IFEDXG7AIMQHTXSHBQ62NDPRO

not attested not anchored not stored refs pending

Weighted digraphs and tropical cones

Georg Loho, Michael Joswig

arxiv:1503.04707 v4 · 2015-03-16 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3IFEDXG7AIMQHTXSHBQ62NDPRO}

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	2026-05-17T23:42:54.118062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da0a41dcdf021903cef23861ed346f8b8aabc2945e9736c28f1a943209c05b79

Aliases

arxiv: 1503.04707 · arxiv_version: 1503.04707v4 · doi: 10.48550/arxiv.1503.04707 · pith_short_12: 3IFEDXG7AIMQ · pith_short_16: 3IFEDXG7AIMQHTXS · pith_short_8: 3IFEDXG7

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/3IFEDXG7AIMQHTXSHBQ62NDPRO \
  | 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: da0a41dcdf021903cef23861ed346f8b8aabc2945e9736c28f1a943209c05b79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28d5edc769ec9906be6881dc7b747b65bfbf5c37129d5962a646640a0c802629",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-16T16:10:01Z",
    "title_canon_sha256": "9558686084dcb69af84ae444ff6ae5796cb7ecc57cdc36eb36fc5f4746ddbb5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04707",
    "kind": "arxiv",
    "version": 4
  }
}