Pith Number

pith:WAMDTQX2

pith:2009:WAMDTQX24HZZQ6OKZMBG74ILWD

not attested not anchored not stored refs pending

On the tropical Torelli map

Filippo Viviani, Margarida Melo, Silvia Brannetti

arxiv:0907.3324 v5 · 2009-07-19 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WAMDTQX24HZZQ6OKZMBG74ILWD}

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	2026-05-18T04:34:55.486975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b01839c2fae1f39879cacb026ff10bb0e2f80ae9e7e272c531adbdfdcd8c2be4

Aliases

arxiv: 0907.3324 · arxiv_version: 0907.3324v5 · doi: 10.48550/arxiv.0907.3324 · pith_short_12: WAMDTQX24HZZ · pith_short_16: WAMDTQX24HZZQ6OK · pith_short_8: WAMDTQX2

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/WAMDTQX24HZZQ6OKZMBG74ILWD \
  | 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: b01839c2fae1f39879cacb026ff10bb0e2f80ae9e7e272c531adbdfdcd8c2be4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b84d319483cbd5740b04d4c159af134c2ff30bfb0eeedd6412dd2b64313299c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-07-19T23:04:48Z",
    "title_canon_sha256": "9c31f196f233f471b2c8bc93547e553bf87a5405ccf4f3645bb6fac7b6c2e391"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3324",
    "kind": "arxiv",
    "version": 5
  }
}