Pith Number

pith:BFQRRBEK

pith:2010:BFQRRBEKZ4GBMC5TOYE7FT4G3M

not attested not anchored not stored refs pending

Degree complexity of birational maps related to matrix inversion: Symmetric case

Tuyen Trung Truong

arxiv:1005.4520 v2 · 2010-05-25 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFQRRBEKZ4GBMC5TOYE7FT4G3M}

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	2026-05-18T04:37:10.172367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

096118848acf0c160bb37609f2cf86db3932366c5a930d59a55a7ebed61f8b18

Aliases

arxiv: 1005.4520 · arxiv_version: 1005.4520v2 · doi: 10.48550/arxiv.1005.4520 · pith_short_12: BFQRRBEKZ4GB · pith_short_16: BFQRRBEKZ4GBMC5T · pith_short_8: BFQRRBEK

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/BFQRRBEKZ4GBMC5TOYE7FT4G3M \
  | 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: 096118848acf0c160bb37609f2cf86db3932366c5a930d59a55a7ebed61f8b18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea9e8894f6c913f2e12c91a92fb206ae0e08ba34bdda5988dcb4e5dfa1e2ce85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-05-25T09:43:39Z",
    "title_canon_sha256": "925761ae89b6245ff9dbf2d20a7961646d39d272e7200bc019cb471439d44169"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4520",
    "kind": "arxiv",
    "version": 2
  }
}