Pith Number

pith:CJUDDEM4

pith:2015:CJUDDEM4IKGJM3HC3VOYEUVES2

not attested not anchored not stored refs pending

The closed-open string map for $S^1$-invariant Lagrangians

Dmitry Tonkonog

arxiv:1504.01621 v2 · 2015-04-07 · 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{CJUDDEM4IKGJM3HC3VOYEUVES2}

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	2026-05-18T00:25:29.560457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

126831919c428c966ce2dd5d8252a4968977f62895f7e0a4b188e44f9db258bf

Aliases

arxiv: 1504.01621 · arxiv_version: 1504.01621v2 · doi: 10.48550/arxiv.1504.01621 · pith_short_12: CJUDDEM4IKGJ · pith_short_16: CJUDDEM4IKGJM3HC · pith_short_8: CJUDDEM4

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/CJUDDEM4IKGJM3HC3VOYEUVES2 \
  | 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: 126831919c428c966ce2dd5d8252a4968977f62895f7e0a4b188e44f9db258bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae60b2c2e3330e130383e100d17021b32b37b92cf708640d7b4a0d5f7ff5f7af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-04-07T14:35:31Z",
    "title_canon_sha256": "a051aa2eef5312c5b0a02442362123dd79193fd1c7ad740e059bc6f1f7fbf237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01621",
    "kind": "arxiv",
    "version": 2
  }
}