Pith Number

pith:ZXWYFBZU

pith:2023:ZXWYFBZUFDRO26UPJST5G4W6Y4

not attested not anchored not stored refs pending

A Spinorial Hopf Differential for Associative Submanifolds

Gavin Ball, Jesse Madnick

arxiv:2305.14508 v1 · 2023-05-23 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZXWYFBZUFDRO26UPJST5G4W6Y4}

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	2026-07-05T06:13:24.369731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cded82873428e2ed7a8f4ca7d372dec7269bc3fc40ecab98d76ade7ce3a525d2

Aliases

arxiv: 2305.14508 · arxiv_version: 2305.14508v1 · doi: 10.48550/arxiv.2305.14508 · pith_short_12: ZXWYFBZUFDRO · pith_short_16: ZXWYFBZUFDRO26UP · pith_short_8: ZXWYFBZU

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/ZXWYFBZUFDRO26UPJST5G4W6Y4 \
  | 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: cded82873428e2ed7a8f4ca7d372dec7269bc3fc40ecab98d76ade7ce3a525d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8e64dc7948fc771e681988d31068f859a446402884871bb4d6aaf1f9b42df67",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-05-23T20:26:32Z",
    "title_canon_sha256": "70cff3d1b9df6ffab6bd6cd0431fe4aa07b4c71d18f8c1aa9300365711ce051f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.14508",
    "kind": "arxiv",
    "version": 1
  }
}