Pith Number

pith:QTPE5JW2

pith:2018:QTPE5JW2KMBXVVILSCUF7T6JFU

not attested not anchored not stored refs pending

Motivic Volumes of Fibers of Tropicalization

Jeremy Usatine

arxiv:1805.08372 v1 · 2018-05-22 · 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{QTPE5JW2KMBXVVILSCUF7T6JFU}

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	2026-05-18T00:15:26.713716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84de4ea6da53037ad50b90a85fcfc92d105871b5803fcb5e53c33d0421900798

Aliases

arxiv: 1805.08372 · arxiv_version: 1805.08372v1 · doi: 10.48550/arxiv.1805.08372 · pith_short_12: QTPE5JW2KMBX · pith_short_16: QTPE5JW2KMBXVVIL · pith_short_8: QTPE5JW2

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/QTPE5JW2KMBXVVILSCUF7T6JFU \
  | 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: 84de4ea6da53037ad50b90a85fcfc92d105871b5803fcb5e53c33d0421900798

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d6f6ccfcf48705bd8a724f8213d6a39dbabf6754f81e504893ab82594d3b44e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-05-22T03:09:19Z",
    "title_canon_sha256": "5edac57c661ccef9cf4c42ab31d6332c3587c1f85a5b75204a2bb6cd7f0066b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08372",
    "kind": "arxiv",
    "version": 1
  }
}