Pith Number

pith:TCBJ2Q3F

pith:2014:TCBJ2Q3FTEFMMFWCF4WWFTRTDC

not attested not anchored not stored refs pending

Eigenvalue ratios of nonnegatively curved graphs

Norbert Peyerimhoff, Shiping Liu

arxiv:1406.6617 v2 · 2014-06-25 · math.SP · 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{TCBJ2Q3FTEFMMFWCF4WWFTRTDC}

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	2026-05-17T23:49:44.609767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98829d4365990ac616c22f2d62ce33189bb457e83ce678be92cb6b3ee3dd50cf

Aliases

arxiv: 1406.6617 · arxiv_version: 1406.6617v2 · doi: 10.48550/arxiv.1406.6617 · pith_short_12: TCBJ2Q3FTEFM · pith_short_16: TCBJ2Q3FTEFMMFWC · pith_short_8: TCBJ2Q3F

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/TCBJ2Q3FTEFMMFWCF4WWFTRTDC \
  | 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: 98829d4365990ac616c22f2d62ce33189bb457e83ce678be92cb6b3ee3dd50cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd2d68f50368bf16236de039d98f07abda09258369fc6cb75757b218e3eabdd8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-06-25T15:46:18Z",
    "title_canon_sha256": "25337e987f46496bdffdf76afd4fe4d7e6e8110e8c03071e1743864befb4c95b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6617",
    "kind": "arxiv",
    "version": 2
  }
}