Pith Number

pith:RQF7I54D

pith:2010:RQF7I54D3BX6RQAYIEAXROEWIS

not attested not anchored not stored refs pending

Hyperfields for Tropical Geometry I. Hyperfields and dequantization

Oleg Viro

arxiv:1006.3034 v2 · 2010-06-15 · math.AG · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RQF7I54D3BX6RQAYIEAXROEWIS}

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

Nil-Equivariant Tropological Sigma Models on Filtered Geometries

Receipt and verification

First computed	2026-05-18T04:41:16.127329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c0bf47783d86fe8c018410178b89644bd92c9cf22909695b87940ec72013fd2

Aliases

arxiv: 1006.3034 · arxiv_version: 1006.3034v2 · doi: 10.48550/arxiv.1006.3034 · pith_short_12: RQF7I54D3BX6 · pith_short_16: RQF7I54D3BX6RQAY · pith_short_8: RQF7I54D

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/RQF7I54D3BX6RQAYIEAXROEWIS \
  | 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: 8c0bf47783d86fe8c018410178b89644bd92c9cf22909695b87940ec72013fd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ce717af8b01bcfc7d89d7071c31e6783a2eaf7a075a0531cc4dc252f2dacd4",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-06-15T17:13:30Z",
    "title_canon_sha256": "981ae58d40256c2660c16df96a947b7368204f9e8757dddbf75bedcdce6848b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3034",
    "kind": "arxiv",
    "version": 2
  }
}