Pith Number

pith:P7IKCKAU

pith:2014:P7IKCKAUCN7BXOAZ55ATCUDKR7

not attested not anchored not stored refs pending

Tropicalization of the moduli space of stable maps

Tony Yue Yu

arxiv:1407.8444 v2 · 2014-07-31 · 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{P7IKCKAUCN7BXOAZ55ATCUDKR7}

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	2026-05-18T01:10:18.631198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fd0a12814137e1bb819ef4131506a8fd868f64a96c27c78daeb0d263edd143b

Aliases

arxiv: 1407.8444 · arxiv_version: 1407.8444v2 · doi: 10.48550/arxiv.1407.8444 · pith_short_12: P7IKCKAUCN7B · pith_short_16: P7IKCKAUCN7BXOAZ · pith_short_8: P7IKCKAU

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/P7IKCKAUCN7BXOAZ55ATCUDKR7 \
  | 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: 7fd0a12814137e1bb819ef4131506a8fd868f64a96c27c78daeb0d263edd143b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e818865f3b6f4fb650b81679c65c1e15936565d8d9305ea4ff6fc9d915bb680",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-07-31T14:52:05Z",
    "title_canon_sha256": "09bdd662341a7683670dcfd6f9b277b7b7be7d5c59f0b81639cf985e2ad8cf49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8444",
    "kind": "arxiv",
    "version": 2
  }
}