Pith Number

pith:TCEZXUBM

pith:2015:TCEZXUBMR3U76XYVLRDHBHINPN

not attested not anchored not stored refs pending

Universal completability, least eigenvalue frameworks, and vector colorings

Antonios Varvitsiotis, Brendan Rooney, Chris Godsil, David E. Roberson, Robert \v{S}\'amal

arxiv:1512.04972 v1 · 2015-12-15 · 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{TCEZXUBMR3U76XYVLRDHBHINPN}

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	2026-05-18T01:24:13.871536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98899bd02c8ee9ff5f155c46709d0d7b6da5fbc5ca48678ab1a7d7870fea4b7b

Aliases

arxiv: 1512.04972 · arxiv_version: 1512.04972v1 · doi: 10.48550/arxiv.1512.04972 · pith_short_12: TCEZXUBMR3U7 · pith_short_16: TCEZXUBMR3U76XYV · pith_short_8: TCEZXUBM

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/TCEZXUBMR3U76XYVLRDHBHINPN \
  | 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: 98899bd02c8ee9ff5f155c46709d0d7b6da5fbc5ca48678ab1a7d7870fea4b7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faf57702d63b9296e4a9241b650ecf1a71d573183ffc2df7583d3d086c0d9af5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-15T21:23:04Z",
    "title_canon_sha256": "5087421984e9c6f8e2ecfdffc883a14f3b26f1624f838ad47d829aa75e34abc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04972",
    "kind": "arxiv",
    "version": 1
  }
}