Pith Number

pith:FMXS6Y2G

pith:2015:FMXS6Y2GAGI7KFXPQ4B3E2W2GW

not attested not anchored not stored refs pending

On the representation by linear superpositions

Vugar Ismailov

arxiv:1501.05268 v1 · 2015-01-21 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FMXS6Y2GAGI7KFXPQ4B3E2W2GW}

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	2026-05-18T02:28:55.651362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b2f2f63460191f516ef8703b26ada35956490a41a1282a9d5da39c63a648544

Aliases

arxiv: 1501.05268 · arxiv_version: 1501.05268v1 · doi: 10.48550/arxiv.1501.05268 · pith_short_12: FMXS6Y2GAGI7 · pith_short_16: FMXS6Y2GAGI7KFXP · pith_short_8: FMXS6Y2G

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/FMXS6Y2GAGI7KFXPQ4B3E2W2GW \
  | 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: 2b2f2f63460191f516ef8703b26ada35956490a41a1282a9d5da39c63a648544

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efcdb8d393b41c65bd668b740edca1cb5ebb488e699dfdc5bb8073db4e48d5ec",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-01-21T19:19:38Z",
    "title_canon_sha256": "248a1ab79e9d5eef04d43f7c58023e49b6ce78009b2a14564d5fcc1ad2755a49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05268",
    "kind": "arxiv",
    "version": 1
  }
}