Pith Number

pith:4COFGZKQ

pith:2025:4COFGZKQLXCTKND4VIEM7RAJPB

not attested not anchored not stored refs pending

Symplectic configurations: a homological and computer-aided approach

Weimin Chen

arxiv:2509.07429 v3 · 2025-09-09 · math.SG · math.AG · math.CO · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4COFGZKQLXCTKND4VIEM7RAJPB}

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	2026-05-20T01:04:57.173034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e09c5365505dc535347caa08cfc40978660a10a2a26ebdcb5960aa2c5b48ffcf

Aliases

arxiv: 2509.07429 · arxiv_version: 2509.07429v3 · doi: 10.48550/arxiv.2509.07429 · pith_short_12: 4COFGZKQLXCT · pith_short_16: 4COFGZKQLXCTKND4 · pith_short_8: 4COFGZKQ

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/4COFGZKQLXCTKND4VIEM7RAJPB \
  | 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: e09c5365505dc535347caa08cfc40978660a10a2a26ebdcb5960aa2c5b48ffcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c84a45b95148b3f96405a85e5416a659b0d59cc5d537f3d43fddddb3bd6f9d82",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO",
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-09-09T06:34:06Z",
    "title_canon_sha256": "12557cc545cb4127c5f60fc167e746b7f401e5775a8b3a38ae1db6e2abd2fa7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07429",
    "kind": "arxiv",
    "version": 3
  }
}