Pith Number

pith:QR5OLIMN

pith:2012:QR5OLIMNVOS77PDOZH5XRMRQ2O

not attested not anchored not stored refs pending

Tropicalizing vs Compactifying the Torelli morphism

Filippo Viviani

arxiv:1204.3875 v2 · 2012-04-17 · 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{QR5OLIMNVOS77PDOZH5XRMRQ2O}

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	2026-05-18T03:03:44.868251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

847ae5a18daba5ffbc6ec9fb78b230d3ad864d9f3bfbbabd0091eda67f8767e0

Aliases

arxiv: 1204.3875 · arxiv_version: 1204.3875v2 · doi: 10.48550/arxiv.1204.3875 · pith_short_12: QR5OLIMNVOS7 · pith_short_16: QR5OLIMNVOS77PDO · pith_short_8: QR5OLIMN

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/QR5OLIMNVOS77PDOZH5XRMRQ2O \
  | 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: 847ae5a18daba5ffbc6ec9fb78b230d3ad864d9f3bfbbabd0091eda67f8767e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38ab256e749ecf10994d3597a705c04ba89cc1197b3214d903564c648a84c0cd",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-17T18:42:29Z",
    "title_canon_sha256": "e65ec56dc7e0cf8f1b653b462dbb5331cfac64bc8f9829e59a43b15e3723df9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3875",
    "kind": "arxiv",
    "version": 2
  }
}