Pith Number

pith:PIOLMX64

pith:2025:PIOLMX64GW4YGHUHXGGDRJQSQQ

not attested not anchored not stored refs pending

Unknottedness of symplectic submanifold fillings

Zhengyi Zhou

arxiv:2506.06807 v1 · 2025-06-07 · 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{PIOLMX64GW4YGHUHXGGDRJQSQQ}

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	2026-07-05T11:17:55.960756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a1cb65fdc35b9831e87b98c38a61284122b6224201f756953c58ce8af0d5654

Aliases

arxiv: 2506.06807 · arxiv_version: 2506.06807v1 · doi: 10.48550/arxiv.2506.06807 · pith_short_12: PIOLMX64GW4Y · pith_short_16: PIOLMX64GW4YGHUH · pith_short_8: PIOLMX64

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/PIOLMX64GW4YGHUHXGGDRJQSQQ \
  | 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: 7a1cb65fdc35b9831e87b98c38a61284122b6224201f756953c58ce8af0d5654

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "731b4ff0008e739c574737230e8e7cbaf0fcc1351e9a5bc5e616156eb4f256be",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-06-07T14:07:07Z",
    "title_canon_sha256": "c57f88c55171b2346284ee608595337b8d5495357b0ea72cc642b978fd5ae6e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06807",
    "kind": "arxiv",
    "version": 1
  }
}