Pith Number

pith:I5YLM2QA

pith:2018:I5YLM2QAV7U4NV25VJKY63EVHN

not attested not anchored not stored refs pending

An abstract linking theorem applied to indefinite problems via spectral properties

Liliane A. Maia, Mayra Soares

arxiv:1807.11155 v2 · 2018-07-30 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I5YLM2QAV7U4NV25VJKY63EVHN}

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	2026-05-17T23:56:33.725903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4770b66a00afe9c6d75daa558f6c953b56ba4b1b8a6a068ea7686879f64a855e

Aliases

arxiv: 1807.11155 · arxiv_version: 1807.11155v2 · doi: 10.48550/arxiv.1807.11155 · pith_short_12: I5YLM2QAV7U4 · pith_short_16: I5YLM2QAV7U4NV25 · pith_short_8: I5YLM2QA

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/I5YLM2QAV7U4NV25VJKY63EVHN \
  | 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: 4770b66a00afe9c6d75daa558f6c953b56ba4b1b8a6a068ea7686879f64a855e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8139209dc54623ca3d3b1f6862aa0e887fc197f785a2a9d83940feaa4a37dd60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-30T03:10:29Z",
    "title_canon_sha256": "027097f628fea0b7ffc50931d94784e909776fcabd56c21fa0d0eb221fd939e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11155",
    "kind": "arxiv",
    "version": 2
  }
}