Pith Number

pith:QHTCK2AY

pith:2011:QHTCK2AYGGYGCPDDGPTHWXDEV2

not attested not anchored not stored refs pending

Applications of Polyfold Theory I: The Polyfolds of Gromov-Witten Theory

Eduard Zehnder, Helmut Hofer, Kris Wysocki

arxiv:1107.2097 v3 · 2011-07-11 · math.SG · 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{QHTCK2AYGGYGCPDDGPTHWXDEV2}

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.

Cited by

1 paper in Pith

Asymptotically Z-stable bundles over projective surfaces

Receipt and verification

First computed	2026-05-18T02:32:12.391725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81e625681831b0613c6333e67b5c64aeaa80aaacc5fc6cbd351fb614c3dbbc8d

Aliases

arxiv: 1107.2097 · arxiv_version: 1107.2097v3 · doi: 10.48550/arxiv.1107.2097 · pith_short_12: QHTCK2AYGGYG · pith_short_16: QHTCK2AYGGYGCPDD · pith_short_8: QHTCK2AY

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/QHTCK2AYGGYGCPDDGPTHWXDEV2 \
  | 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: 81e625681831b0613c6333e67b5c64aeaa80aaacc5fc6cbd351fb614c3dbbc8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70155b7300804f50e93ec02b81a4643c0ad156480e11b7319ad87adc455d300b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-07-11T19:15:57Z",
    "title_canon_sha256": "bb260cf5ce41cf8daa60d6fb17f5dfa1866162a06b836f63229daf7b5745e3d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2097",
    "kind": "arxiv",
    "version": 3
  }
}