Pith Number

pith:TYTKE7LG

pith:2011:TYTKE7LGEIGOAM2TGCLFSHXEEU

not attested not anchored not stored refs pending

The Cox ring of the space of complete rank two collineations

Juergen Hausen, Michael Liebendoerfer

arxiv:1110.1171 v1 · 2011-10-06 · 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{TYTKE7LGEIGOAM2TGCLFSHXEEU}

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	2026-05-18T03:25:46.691694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e26a27d66220ce033533096591ee42537fa2838a5a55aadef38b0dd513b3a4a

Aliases

arxiv: 1110.1171 · arxiv_version: 1110.1171v1 · doi: 10.48550/arxiv.1110.1171 · pith_short_12: TYTKE7LGEIGO · pith_short_16: TYTKE7LGEIGOAM2T · pith_short_8: TYTKE7LG

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/TYTKE7LGEIGOAM2TGCLFSHXEEU \
  | 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: 9e26a27d66220ce033533096591ee42537fa2838a5a55aadef38b0dd513b3a4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04147afc0ecc04be43b6ccdf2180602a93dd45559b6f2fdf2028a64714be127a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-06T07:58:29Z",
    "title_canon_sha256": "974584cd223080ab779d6829235f96cc902ac751950b64be015cd10ea81749ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1171",
    "kind": "arxiv",
    "version": 1
  }
}