Pith Number

pith:J3TAI7SH

pith:2015:J3TAI7SHQWXWOZIJWFJDBVRGQ4

not attested not anchored not stored refs pending

Hahn analytification and connectivity of higher rank tropical varieties

Dhruv Ranganathan, Tyler Foster

arxiv:1504.07207 v2 · 2015-04-27 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3TAI7SHQWXWOZIJWFJDBVRGQ4}

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	2026-05-18T00:42:13.626782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ee6047e4785af676509b15230d626872157941f35959d8113ee4e035b80075a

Aliases

arxiv: 1504.07207 · arxiv_version: 1504.07207v2 · doi: 10.48550/arxiv.1504.07207 · pith_short_12: J3TAI7SHQWXW · pith_short_16: J3TAI7SHQWXWOZIJ · pith_short_8: J3TAI7SH

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/J3TAI7SHQWXWOZIJWFJDBVRGQ4 \
  | 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: 4ee6047e4785af676509b15230d626872157941f35959d8113ee4e035b80075a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a0e261c42031001ad66f9ae500e138fb0eb0020874041526a12b4cf62d83d8e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-27T18:52:10Z",
    "title_canon_sha256": "57f6efddec4dc568497f6da4f825a2a2501f28d96f6ac4e828e4d7082bf0ce93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07207",
    "kind": "arxiv",
    "version": 2
  }
}