Pith Number

pith:UMM3PDME

pith:2019:UMM3PDMEKBJF2BL7YLH76C7F5J

not attested not anchored not stored refs pending

The Rank of Trifocal Grassmann Tensors

Cristina Turrini, Gian Mario Besana, Gilberto Bini, Marina Bertolini

arxiv:1907.10415 v1 · 2019-07-24 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMM3PDMEKBJF2BL7YLH76C7F5J}

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	2026-05-17T23:39:38.020130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a319b78d8450525d057fc2cfff0be5ea7df2524a8f7778a3f1ee4285dc069d05

Aliases

arxiv: 1907.10415 · arxiv_version: 1907.10415v1 · doi: 10.48550/arxiv.1907.10415 · pith_short_12: UMM3PDMEKBJF · pith_short_16: UMM3PDMEKBJF2BL7 · pith_short_8: UMM3PDME

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/UMM3PDMEKBJF2BL7YLH76C7F5J \
  | 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: a319b78d8450525d057fc2cfff0be5ea7df2524a8f7778a3f1ee4285dc069d05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4e65de2b44492a4b0415106fab0a791cbec38b86d02c91e17cfac83c3777f0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-07-24T12:59:18Z",
    "title_canon_sha256": "d3cbee1160691cf221eae62a0a576e5d9ebab20907c5837fc2574af5a22a99ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10415",
    "kind": "arxiv",
    "version": 1
  }
}