Pith Number

pith:GNTXUO4O

pith:2014:GNTXUO4ONSICPOPYT53VYJ77D4

not attested not anchored not stored refs pending

Spectra of the blow-up graphs

Carla Oliveira, Leonardo de Lima, Vladimir Nikiforov

arxiv:1412.0319 v1 · 2014-12-01 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GNTXUO4ONSICPOPYT53VYJ77D4}

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	2026-05-18T02:32:28.086340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33677a3b8e6c9027b9f89f775c27ff1f2860b19dfc602acff2e1c1234347f3f5

Aliases

arxiv: 1412.0319 · arxiv_version: 1412.0319v1 · doi: 10.48550/arxiv.1412.0319 · pith_short_12: GNTXUO4ONSIC · pith_short_16: GNTXUO4ONSICPOPY · pith_short_8: GNTXUO4O

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/GNTXUO4ONSICPOPYT53VYJ77D4 \
  | 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: 33677a3b8e6c9027b9f89f775c27ff1f2860b19dfc602acff2e1c1234347f3f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aba84fb3fe446ee6edcfe50577cd8e213422d8758c0bdd74794e82d45b157381",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-12-01T01:05:57Z",
    "title_canon_sha256": "8ddb90c7b5e9de43316a014df1c3cb81d2fb3c475bfd2c34d92a4e999c9857f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0319",
    "kind": "arxiv",
    "version": 1
  }
}