Pith Number

pith:KV4RDC3S

pith:2016:KV4RDC3SOVIKETFR6CBVY5BC3Y

not attested not anchored not stored refs pending

Tropical Homotopy Continuation

Anders Nedergaard Jensen

arxiv:1601.02818 v1 · 2016-01-12 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KV4RDC3SOVIKETFR6CBVY5BC3Y}

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

Root bounds of vertical systems using tropical geometry

Receipt and verification

First computed	2026-05-18T01:22:59.549349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5579118b727550a24cb1f0835c7422de29778a525799246ca04a290504790fc8

Aliases

arxiv: 1601.02818 · arxiv_version: 1601.02818v1 · doi: 10.48550/arxiv.1601.02818 · pith_short_12: KV4RDC3SOVIK · pith_short_16: KV4RDC3SOVIKETFR · pith_short_8: KV4RDC3S

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/KV4RDC3SOVIKETFR6CBVY5BC3Y \
  | 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: 5579118b727550a24cb1f0835c7422de29778a525799246ca04a290504790fc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43bf7576aa94dc2e832a3ab9411e94c1218518c9ad09b6adc94e3d7c0e8e331b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-12T11:55:59Z",
    "title_canon_sha256": "7f82a21304b2fc42bd430370d957285220ed827d972f879614e5e27d4a5e2e42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02818",
    "kind": "arxiv",
    "version": 1
  }
}