Pith Number

pith:2EZX6EGA

pith:2011:2EZX6EGAJSCCV3PKLNXMHNL7PC

not attested not anchored not stored refs pending

The minimum rank of universal adjacency matrices

Bahman Ahmadi, Fatemeh Alinaghipour, Karen Meagher, Shahla Nasserasr, Shaun M. Fallat, Yi-Zheng Fan

arxiv:1112.1718 v1 · 2011-12-07 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2EZX6EGAJSCCV3PKLNXMHNL7PC}

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	2026-05-18T04:06:45.808520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1337f10c04c842aedea5b6ec3b57f78bea355b065dc20f6993defe7adae5e75

Aliases

arxiv: 1112.1718 · arxiv_version: 1112.1718v1 · doi: 10.48550/arxiv.1112.1718 · pith_short_12: 2EZX6EGAJSCC · pith_short_16: 2EZX6EGAJSCCV3PK · pith_short_8: 2EZX6EGA

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/2EZX6EGAJSCCV3PKLNXMHNL7PC \
  | 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: d1337f10c04c842aedea5b6ec3b57f78bea355b065dc20f6993defe7adae5e75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27230e232ea9dc928103877fc860034e380c5d4a42cfd8397257e8ec3487e4f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-12-07T22:22:44Z",
    "title_canon_sha256": "93df2db8584a2e7d6c4948fffc65cf8ba953daf25adf68fcdf3df94aa6108248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1718",
    "kind": "arxiv",
    "version": 1
  }
}