Pith Number

pith:R6JC6L4Q

pith:2011:R6JC6L4QK7FHGC42TEQWGN6ZRI

not attested not anchored not stored refs pending

Bounding invariants of fat points using a coding theory construction

Adam Van Tuyl, Stefan O. Tohaneanu

arxiv:1108.1359 v2 · 2011-08-05 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6JC6L4QK7FHGC42TEQWGN6ZRI}

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	2026-05-18T03:59:01.447952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f922f2f9057ca730b9a99216337d98a1a9b27fae7f9bcc0378c4286cecbecef

Aliases

arxiv: 1108.1359 · arxiv_version: 1108.1359v2 · doi: 10.48550/arxiv.1108.1359 · pith_short_12: R6JC6L4QK7FH · pith_short_16: R6JC6L4QK7FHGC42 · pith_short_8: R6JC6L4Q

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/R6JC6L4QK7FHGC42TEQWGN6ZRI \
  | 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: 8f922f2f9057ca730b9a99216337d98a1a9b27fae7f9bcc0378c4286cecbecef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d81e1a84a43776dd3cdd463763c919dd212cc6b0ba47be731965023ac76f7010",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-08-05T16:05:18Z",
    "title_canon_sha256": "f6f8fc16b9db20947c1edbfe65d6d44fd3af73ae22cacdbd4af6d99fc89bf892"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1359",
    "kind": "arxiv",
    "version": 2
  }
}