Pith Number

pith:OTTN5WE4

pith:2014:OTTN5WE4Y3DBQU6JQIA57CVTB6

not attested not anchored not stored refs pending

Tropical Effective Primary and Dual Nullstellens\"atze

Dima Grigoriev, Vladimir V. Podolskii

arxiv:1409.6215 v2 · 2014-09-22 · math.AG · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OTTN5WE4Y3DBQU6JQIA57CVTB6}

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	2026-05-18T01:57:23.570390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74e6ded89cc6c61853c98201df8ab30f9fd984830078049f98123ee88470a233

Aliases

arxiv: 1409.6215 · arxiv_version: 1409.6215v2 · doi: 10.48550/arxiv.1409.6215 · pith_short_12: OTTN5WE4Y3DB · pith_short_16: OTTN5WE4Y3DBQU6J · pith_short_8: OTTN5WE4

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/OTTN5WE4Y3DBQU6JQIA57CVTB6 \
  | 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: 74e6ded89cc6c61853c98201df8ab30f9fd984830078049f98123ee88470a233

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a62d29d63c820b920aedb6558a44eeba9b84c9a3a62025664c1f7798a2745c98",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-09-22T15:56:27Z",
    "title_canon_sha256": "9cdf24ba47d9c021ae8cefbc154756c3d8e73fa60d7cf4be5aec08e30e4d595c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6215",
    "kind": "arxiv",
    "version": 2
  }
}