Pith Number

pith:RJRRCDZP

pith:2012:RJRRCDZPQT3JFOOZSPWXUMJD6O

not attested not anchored not stored refs pending

Immersions in a Quaternionic Grassmannian inducing a given 4-form

Mahuya Datta

arxiv:1212.5885 v1 · 2012-12-24 · 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{RJRRCDZPQT3JFOOZSPWXUMJD6O}

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	2026-05-18T03:37:51.072585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a63110f2f84f692b9d993ed7a3123f3981be35851fc02a2eeb4ea3af77a9f42

Aliases

arxiv: 1212.5885 · arxiv_version: 1212.5885v1 · doi: 10.48550/arxiv.1212.5885 · pith_short_12: RJRRCDZPQT3J · pith_short_16: RJRRCDZPQT3JFOOZ · pith_short_8: RJRRCDZP

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/RJRRCDZPQT3JFOOZSPWXUMJD6O \
  | 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: 8a63110f2f84f692b9d993ed7a3123f3981be35851fc02a2eeb4ea3af77a9f42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "014a390cc79136df76ceb6848f3498068a58148b2e017c2c0ecba5f18cc22c97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-12-24T09:59:13Z",
    "title_canon_sha256": "49c6107d76a6a5afccb12818f664c85f1ba13cf4154defe9a10d74908b7d86a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5885",
    "kind": "arxiv",
    "version": 1
  }
}