Pith Number

pith:BK4LCPY6

pith:2015:BK4LCPY6IVWJITSISGHQRS43B4

not attested not anchored not stored refs pending

Degenerations of toric varieties over valuation rings

Dhruv Ranganathan, Tyler Foster

arxiv:1508.04057 v3 · 2015-08-17 · 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{BK4LCPY6IVWJITSISGHQRS43B4}

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	2026-05-18T00:15:59.666813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ab8b13f1e456c944e48918f08cb9b0f2d516ae720771721d8c14719d3be928a

Aliases

arxiv: 1508.04057 · arxiv_version: 1508.04057v3 · doi: 10.48550/arxiv.1508.04057 · pith_short_12: BK4LCPY6IVWJ · pith_short_16: BK4LCPY6IVWJITSI · pith_short_8: BK4LCPY6

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/BK4LCPY6IVWJITSISGHQRS43B4 \
  | 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: 0ab8b13f1e456c944e48918f08cb9b0f2d516ae720771721d8c14719d3be928a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ed45681a023a4f47d60f45d4b3a34fa5ea21abc1e5e1d863d6f20a350fd7ac2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-17T15:24:58Z",
    "title_canon_sha256": "fd40833dcb2f59f7b2220049ba6098301c54f1f42dec54b2fd6a0923b3dfee08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04057",
    "kind": "arxiv",
    "version": 3
  }
}