Pith Number

pith:AUCGK73I

pith:2018:AUCGK73IPJB5K6QYUX7NFJK5AL

not attested not anchored not stored refs pending

Lectures on Polyfolds and Symplectic Field Theory

Helmut Hofer, Joel W. Fish

arxiv:1808.07147 v1 · 2018-08-21 · math.SG · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AUCGK73IPJB5K6QYUX7NFJK5AL}

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	2026-05-18T00:07:29.823227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0504657f687a43d57a18a5fed2a55d02e1c64717b89265c117d963a485920fbb

Aliases

arxiv: 1808.07147 · arxiv_version: 1808.07147v1 · doi: 10.48550/arxiv.1808.07147 · pith_short_12: AUCGK73IPJB5 · pith_short_16: AUCGK73IPJB5K6QY · pith_short_8: AUCGK73I

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/AUCGK73IPJB5K6QYUX7NFJK5AL \
  | 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: 0504657f687a43d57a18a5fed2a55d02e1c64717b89265c117d963a485920fbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2495ea4daa383af3c2e43742eacf95efc1a160b9711c31e85f8429fbe2fbea32",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2018-08-21T22:15:14Z",
    "title_canon_sha256": "6802646074a5f0e81c46bdbb93da21742a6034c4f54d044a04dd340409abb000"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07147",
    "kind": "arxiv",
    "version": 1
  }
}