Pith Number

pith:2HMTUGTC

pith:2018:2HMTUGTCPHSUZBDGHDOOIV4NUQ

not attested not anchored not stored refs pending

Real Tropical Singularities and Bergman Fans

Christian J\"urgens

arxiv:1802.01838 v1 · 2018-02-06 · math.AG · 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{2HMTUGTCPHSUZBDGHDOOIV4NUQ}

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.

Cited by

1 paper in Pith

Perfect matroids over hyperfields

Receipt and verification

First computed	2026-05-18T00:24:21.130800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1d93a1a6279e54c846638dce4578da4174a72f061ddb680a669b64b6c596c6f

Aliases

arxiv: 1802.01838 · arxiv_version: 1802.01838v1 · doi: 10.48550/arxiv.1802.01838 · pith_short_12: 2HMTUGTCPHSU · pith_short_16: 2HMTUGTCPHSUZBDG · pith_short_8: 2HMTUGTC

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/2HMTUGTCPHSUZBDGHDOOIV4NUQ \
  | 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: d1d93a1a6279e54c846638dce4578da4174a72f061ddb680a669b64b6c596c6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50fe9423e605575e7447cbe9aab8f9a110aa447e1f5e71d35a4547b503bc6445",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-02-06T08:14:36Z",
    "title_canon_sha256": "64dfec2494c44ab2d7f3193637c454ac92a30f7764e376a6f8bbcf164f693146"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01838",
    "kind": "arxiv",
    "version": 1
  }
}