Pith Number

pith:6RRLOCUM

pith:2017:6RRLOCUM2TIKEY6KW2Z25OFNVD

not attested not anchored not stored refs pending

Realizability of tropical canonical divisors

Annette Werner, Martin Moeller, Martin Ulirsch

arxiv:1710.06401 v2 · 2017-10-17 · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6RRLOCUM2TIKEY6KW2Z25OFNVD}

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	2026-05-18T00:29:27.918611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f462b70a8cd4d0a263cab6b3aeb8ada8e5f7abaa4a4d207c2bf6b8cfc19f5eb9

Aliases

arxiv: 1710.06401 · arxiv_version: 1710.06401v2 · doi: 10.48550/arxiv.1710.06401 · pith_short_12: 6RRLOCUM2TIK · pith_short_16: 6RRLOCUM2TIKEY6K · pith_short_8: 6RRLOCUM

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/6RRLOCUM2TIKEY6KW2Z25OFNVD \
  | 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: f462b70a8cd4d0a263cab6b3aeb8ada8e5f7abaa4a4d207c2bf6b8cfc19f5eb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79a9b40a64a4d70e52ba216bf148625540abad29e62c8b714037a91e7f7c3802",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-17T17:12:23Z",
    "title_canon_sha256": "c7958b6c9419edfe8f637c6baf819aaea8aba15128e3d149f2ba3ddfefa3d7ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06401",
    "kind": "arxiv",
    "version": 2
  }
}