Pith Number

pith:DHRM352U

pith:2013:DHRM352U4IZAVUGGZ4QVJWBRAI

not attested not anchored not stored refs pending

Weakly Smooth Structures in Gromov-Witten Theory

Gang Liu

arxiv:1310.7209 v9 · 2013-10-27 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DHRM352U4IZAVUGGZ4QVJWBRAI}

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	2026-05-18T01:37:02.578680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19e2cdf754e2320ad0c6cf2154d831020188ac192e664b8b8ccfed5b6a812ec7

Aliases

arxiv: 1310.7209 · arxiv_version: 1310.7209v9 · doi: 10.48550/arxiv.1310.7209 · pith_short_12: DHRM352U4IZA · pith_short_16: DHRM352U4IZAVUGG · pith_short_8: DHRM352U

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/DHRM352U4IZAVUGGZ4QVJWBRAI \
  | 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: 19e2cdf754e2320ad0c6cf2154d831020188ac192e664b8b8ccfed5b6a812ec7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "970790dca2de53425f9c0b61aecfec4d33992fa942417f33ddfbcc7b2dd1cbda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-10-27T16:22:11Z",
    "title_canon_sha256": "716e42c6387672a76ba42ecce1ffbbe9338680f4088812021d6e24fb3c12fd72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7209",
    "kind": "arxiv",
    "version": 9
  }
}