Pith Number

pith:E6PVKCP7

pith:2025:E6PVKCP725JRXPTF6SYTB5MQDL

not attested not anchored not stored refs pending

Cohomologous symplectic forms with different Gromov widths

Shengzhen Ning

arxiv:2505.09550 v1 · 2025-05-14 · 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{E6PVKCP725JRXPTF6SYTB5MQDL}

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	2026-07-05T11:03:10.290923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

279f5509ffd7531bbe65f4b130f5901adc41c4bbe240813939bafb9f091b023d

Aliases

arxiv: 2505.09550 · arxiv_version: 2505.09550v1 · doi: 10.48550/arxiv.2505.09550 · pith_short_12: E6PVKCP725JR · pith_short_16: E6PVKCP725JRXPTF · pith_short_8: E6PVKCP7

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/E6PVKCP725JRXPTF6SYTB5MQDL \
  | 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: 279f5509ffd7531bbe65f4b130f5901adc41c4bbe240813939bafb9f091b023d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8237da0333ec2cfa7795de30ceee769fd3cae846a94816f10580617f9aa356a1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-05-14T16:47:20Z",
    "title_canon_sha256": "5921909cdfdf83b39baeeb4cacaf5cc3375ced45cbbafd1a24edc6e862c441e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.09550",
    "kind": "arxiv",
    "version": 1
  }
}