Pith Number

pith:HMGHZVAC

pith:2013:HMGHZVACFYFPSP2X4QYPBVYA22

not attested not anchored not stored refs pending

Degree of Regularity of Linear Homogeneous Equations

Kavish Gandhi, L\'aszl\'o Mikl\'os Lov\'asz (Massachusetts Institute of Technology), Noah Golowich

arxiv:1309.7220 v3 · 2013-09-27 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HMGHZVACFYFPSP2X4QYPBVYA22}

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	2026-05-18T02:37:58.901404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b0c7cd4022e0af93f57e430f0d700d693683e04eff003444df5bc9a4e81958f

Aliases

arxiv: 1309.7220 · arxiv_version: 1309.7220v3 · doi: 10.48550/arxiv.1309.7220 · pith_short_12: HMGHZVACFYFP · pith_short_16: HMGHZVACFYFPSP2X · pith_short_8: HMGHZVAC

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/HMGHZVACFYFPSP2X4QYPBVYA22 \
  | 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: 3b0c7cd4022e0af93f57e430f0d700d693683e04eff003444df5bc9a4e81958f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6048b203a06ef9dfee3b1bcdace288bfb86f90ebe3f8a018756b5949dac2024f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-27T12:23:04Z",
    "title_canon_sha256": "defe5138a421b1265ba6bcbbef61fc40a25591722b9193d6f146cac63e901f22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7220",
    "kind": "arxiv",
    "version": 3
  }
}