Pith Number

pith:LBXT4RCU

pith:2015:LBXT4RCU2GPP2SYAJBLI5LJW3Q

not attested not anchored not stored refs pending

Bounds on the number of connected components for tropical prevarieties

Alex Davydow, Dima Grigoriev

arxiv:1511.06609 v1 · 2015-11-20 · 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{LBXT4RCU2GPP2SYAJBLI5LJW3Q}

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	2026-05-18T00:01:23.753346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

586f3e4454d19efd4b0048568ead36dc0a4aa17983989793f54e4ade02095393

Aliases

arxiv: 1511.06609 · arxiv_version: 1511.06609v1 · doi: 10.48550/arxiv.1511.06609 · pith_short_12: LBXT4RCU2GPP · pith_short_16: LBXT4RCU2GPP2SYA · pith_short_8: LBXT4RCU

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/LBXT4RCU2GPP2SYAJBLI5LJW3Q \
  | 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: 586f3e4454d19efd4b0048568ead36dc0a4aa17983989793f54e4ade02095393

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c1980091b363f4512f2b70fa1c6c168089e278ef67b8e8307a49c3e726fda7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-20T14:25:29Z",
    "title_canon_sha256": "9ee229aed2dad82c7302f0c0a7dc46c183969d9de5c0f0e6277a2e1d272b944b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06609",
    "kind": "arxiv",
    "version": 1
  }
}