Pith Number

pith:4D45RFAZ

pith:2016:4D45RFAZIHGXTMK5C564OUXOGI

not attested not anchored not stored refs pending

Asypmtotics of enumerative invariants in $\CC P^2$

Dongyi Wei, Gang Tian

arxiv:1609.06425 v2 · 2016-09-21 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4D45RFAZIHGXTMK5C564OUXOGI}

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	2026-05-18T01:02:51.728073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0f9d8941941cd79b15d177dc752ee3214d7806051ce3d2742571f904024fbd2

Aliases

arxiv: 1609.06425 · arxiv_version: 1609.06425v2 · doi: 10.48550/arxiv.1609.06425 · pith_short_12: 4D45RFAZIHGX · pith_short_16: 4D45RFAZIHGXTMK5 · pith_short_8: 4D45RFAZ

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/4D45RFAZIHGXTMK5C564OUXOGI \
  | 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: e0f9d8941941cd79b15d177dc752ee3214d7806051ce3d2742571f904024fbd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "675371c638fedd5a4a6857003f7a7acfc1808dd96d9b576f0e037df09d53d825",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-21T06:13:53Z",
    "title_canon_sha256": "a0a02966d9572aecc610b3719696c96416206eb6c8c0dd449d9f9d0608753b2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06425",
    "kind": "arxiv",
    "version": 2
  }
}