Pith Number

pith:P3N65GH2

pith:2018:P3N65GH2NOB6XFICVGH2CYIZZ7

not attested not anchored not stored refs pending

On universal realizability of spectra

Ana I. Julio, Carlos Mariju\'an, Miriam Pisonero, Ricardo L. Soto

arxiv:1809.02224 v1 · 2018-09-06 · 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{P3N65GH2NOB6XFICVGH2CYIZZ7}

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	2026-05-18T00:06:17.638666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7edbee98fa6b83eb9502a98fa16119cfd3c480886f0c192e3873c0594d14db7a

Aliases

arxiv: 1809.02224 · arxiv_version: 1809.02224v1 · doi: 10.48550/arxiv.1809.02224 · pith_short_12: P3N65GH2NOB6 · pith_short_16: P3N65GH2NOB6XFIC · pith_short_8: P3N65GH2

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/P3N65GH2NOB6XFICVGH2CYIZZ7 \
  | 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: 7edbee98fa6b83eb9502a98fa16119cfd3c480886f0c192e3873c0594d14db7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92730ff1aaa10b9f9bd437556dc7ce2f36b5c4911366fb5cd080c02901b798f3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-09-06T21:29:31Z",
    "title_canon_sha256": "33528dd8cda89c39263131c45de0a35c28b458c7a77bc82d6e2918c55321c90f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02224",
    "kind": "arxiv",
    "version": 1
  }
}