Pith Number

pith:JOTKK75X

pith:2015:JOTKK75XFOWKSPR55UYIAEALYT

not attested not anchored not stored refs pending

The multiplicity of eigenvalues of the Hodge Laplacian on 5-dimensional compact manifolds

Megan E. Gier, Peter D. Hislop

arxiv:1501.06165 v1 · 2015-01-25 · math.SP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOTKK75XFOWKSPR55UYIAEALYT}

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	2026-05-18T02:28:42.171475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ba6a57fb72baca93e3ded3080100bc4d7ab3f4e174a709817c2e27e9241edb8

Aliases

arxiv: 1501.06165 · arxiv_version: 1501.06165v1 · doi: 10.48550/arxiv.1501.06165 · pith_short_12: JOTKK75XFOWK · pith_short_16: JOTKK75XFOWKSPR5 · pith_short_8: JOTKK75X

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/JOTKK75XFOWKSPR55UYIAEALYT \
  | 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: 4ba6a57fb72baca93e3ded3080100bc4d7ab3f4e174a709817c2e27e9241edb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cb6d4dee467ab4dc789df1c95f47402d519f29e58f97f01767fd4618c4cc081",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-01-25T14:21:28Z",
    "title_canon_sha256": "c2fbe390bb28d766859c68caa8b725edc6f916dc5ae0acfc549ab38fd8c10d39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06165",
    "kind": "arxiv",
    "version": 1
  }
}