Pith Number

pith:TF75YEFI

pith:2015:TF75YEFIWJSNT73DSHCHPYDN47

not attested not anchored not stored refs pending

Existence of Dirac Eigenvalues of higher Multiplicity

Nikolai Nowaczyk

arxiv:1504.00961 v1 · 2015-04-04 · 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{TF75YEFIWJSNT73DSHCHPYDN47}

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	2026-05-18T01:00:10.358432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

997fdc10a8b264d9ff6391c477e06de7e611b51a36093889baf9c7e584d99a06

Aliases

arxiv: 1504.00961 · arxiv_version: 1504.00961v1 · doi: 10.48550/arxiv.1504.00961 · pith_short_12: TF75YEFIWJSN · pith_short_16: TF75YEFIWJSNT73D · pith_short_8: TF75YEFI

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/TF75YEFIWJSNT73DSHCHPYDN47 \
  | 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: 997fdc10a8b264d9ff6391c477e06de7e611b51a36093889baf9c7e584d99a06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3a192946e410fc9bd8af8d840b2777936ca30f085fe0e34670e49f99874f75b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-04T00:12:47Z",
    "title_canon_sha256": "7a8abbf7bb7fb22f730f363fbb06f67828aee1ad24412e47e7fac0b98bd954c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00961",
    "kind": "arxiv",
    "version": 1
  }
}