Pith Number

pith:44RWAHQW

pith:2011:44RWAHQWUIURG56PY244G7EPIN

not attested not anchored not stored refs pending

Algebraic and tropical curves: comparing their moduli spaces

Lucia Caporaso

arxiv:1101.4821 v3 · 2011-01-25 · 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{44RWAHQWUIURG56PY244G7EPIN}

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	2026-05-18T04:05:48.430051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e723601e16a2291377cfc6b9c37c8f4369258e2fbcbab42394c0b4c42262d779

Aliases

arxiv: 1101.4821 · arxiv_version: 1101.4821v3 · doi: 10.48550/arxiv.1101.4821 · pith_short_12: 44RWAHQWUIUR · pith_short_16: 44RWAHQWUIURG56P · pith_short_8: 44RWAHQW

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/44RWAHQWUIURG56PY244G7EPIN \
  | 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: e723601e16a2291377cfc6b9c37c8f4369258e2fbcbab42394c0b4c42262d779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb72558d1ded5b5feedef16e71687a1bf866ce185ce2a8ee8af4ff0960f90978",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-25T14:24:43Z",
    "title_canon_sha256": "f54aeea84a71096069f3a38cdb47955f8eb4be1cac4fb3c3a1c6922144b4d92e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4821",
    "kind": "arxiv",
    "version": 3
  }
}