Pith Number

pith:73QMZQYI

pith:2017:73QMZQYI4ZMBG52FUDZCIFEKP5

not attested not anchored not stored refs pending

On the structures of Grassmannian frames

John I. Haas IV, Peter G. Casazza

arxiv:1703.01787 v2 · 2017-03-06 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{73QMZQYI4ZMBG52FUDZCIFEKP5}

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	2026-05-18T00:40:48.852560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fee0ccc308e658137745a0f224148a7f4287fd4d508a6e3e63b5214b09f56d3c

Aliases

arxiv: 1703.01787 · arxiv_version: 1703.01787v2 · doi: 10.48550/arxiv.1703.01787 · pith_short_12: 73QMZQYI4ZMB · pith_short_16: 73QMZQYI4ZMBG52F · pith_short_8: 73QMZQYI

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/73QMZQYI4ZMBG52FUDZCIFEKP5 \
  | 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: fee0ccc308e658137745a0f224148a7f4287fd4d508a6e3e63b5214b09f56d3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "589ead726f85f56894edf832e14411c9de28829153206a3ae0c48f1256e6d4b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-03-06T09:45:30Z",
    "title_canon_sha256": "1d141965875d2f4711b5055e4d976405e4413b6d4b5b93bb6a0dc636e58fd116"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01787",
    "kind": "arxiv",
    "version": 2
  }
}