Pith Number

pith:T3REGQ4P

pith:2012:T3REGQ4PYDRGIIVXYCDNZJH5CQ

not attested not anchored not stored refs pending

On the Summability of Bivariate Rational Functions

Michael F. Singer, Shaoshi Chen

arxiv:1210.6366 v1 · 2012-10-23 · math.CO · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T3REGQ4PYDRGIIVXYCDNZJH5CQ}

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	2026-05-18T03:42:25.041037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ee243438fc0e26422b7c086dca4fd1425555c827d6f51b0609f7617f2e7b96e

Aliases

arxiv: 1210.6366 · arxiv_version: 1210.6366v1 · doi: 10.48550/arxiv.1210.6366 · pith_short_12: T3REGQ4PYDRG · pith_short_16: T3REGQ4PYDRGIIVX · pith_short_8: T3REGQ4P

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/T3REGQ4PYDRGIIVXYCDNZJH5CQ \
  | 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: 9ee243438fc0e26422b7c086dca4fd1425555c827d6f51b0609f7617f2e7b96e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d2ec9efb863468c8f5a27dac18927f7113714612eeddb2ee9f76ffaad7235db",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-23T20:12:42Z",
    "title_canon_sha256": "028954ca402dbf3fddc114da4d1c55e433dc5ba95fc667b18158955ae3113444"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6366",
    "kind": "arxiv",
    "version": 1
  }
}