Pith Number

pith:PYPH2UW6

pith:2017:PYPH2UW6UKDXGNQLSXLRPWXYPK

not attested not anchored not stored refs pending

Covariantly functorial wrapped Floer theory on Liouville sectors

John Pardon, Sheel Ganatra, Vivek Shende

arxiv:1706.03152 v3 · 2017-06-09 · 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{PYPH2UW6UKDXGNQLSXLRPWXYPK}

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

Representations of the Chekanov-Eliashberg algebra from closed exact Lagrangians I

Receipt and verification

First computed	2026-07-05T01:26:37.054872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e1e7d52dea28773360b95d717daf87a8757dc7a7c48a59a90ede5ac676ceb59

Aliases

arxiv: 1706.03152 · arxiv_version: 1706.03152v3 · doi: 10.48550/arxiv.1706.03152 · pith_short_12: PYPH2UW6UKDX · pith_short_16: PYPH2UW6UKDXGNQL · pith_short_8: PYPH2UW6

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/PYPH2UW6UKDXGNQLSXLRPWXYPK \
  | 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: 7e1e7d52dea28773360b95d717daf87a8757dc7a7c48a59a90ede5ac676ceb59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87572e849f70c3a8ea1aea2aa8f75474f70a3dec2976ded21fc577ada7b81513",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-06-09T23:25:41Z",
    "title_canon_sha256": "041e58dda28633751f4226fc466e9481a411c3e3da99796325b97b21d9a329bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03152",
    "kind": "arxiv",
    "version": 3
  }
}