Pith Number

pith:W2VR2XLO

pith:2018:W2VR2XLOECUYXFYNPTHWWUDN7S

not attested not anchored not stored refs pending

Remarks on Donaldson's symplectic submanifolds

Emmanuel Giroux

arxiv:1803.05929 v1 · 2018-03-15 · 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{W2VR2XLOECUYXFYNPTHWWUDN7S}

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	2026-05-18T00:20:51.400799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6ab1d5d6e20a98b970d7ccf6b506dfc892d83f6546f84439f8022fca60ef2bf

Aliases

arxiv: 1803.05929 · arxiv_version: 1803.05929v1 · doi: 10.48550/arxiv.1803.05929 · pith_short_12: W2VR2XLOECUY · pith_short_16: W2VR2XLOECUYXFYN · pith_short_8: W2VR2XLO

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/W2VR2XLOECUYXFYNPTHWWUDN7S \
  | 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: b6ab1d5d6e20a98b970d7ccf6b506dfc892d83f6546f84439f8022fca60ef2bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94a7fbe702a43b67ea2498c3cf4df235f3461938852e7edb868ef6afc2b4372a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2018-03-15T18:11:56Z",
    "title_canon_sha256": "a13575ee00e6d305576cae751ee92f5d82c7de8fb49de55cb95cc15619b74262"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05929",
    "kind": "arxiv",
    "version": 1
  }
}