Pith Number

pith:P3I2GIKN

pith:2021:P3I2GIKNRB7KKIOZRKVJPVW2TR

not attested not anchored not stored refs pending

Utility maximization in multivariate Volterra models

Florian Aichinger, Sascha Desmettre

arxiv:2111.02191 v4 · 2021-11-03 · math.PR · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3I2GIKNRB7KKIOZRKVJPVW2TR}

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	2026-07-05T10:05:05.473557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ed1a3214d887ea521d98aaa97d6da9c722a4599dc4624f88ef95855d88734e1

Aliases

arxiv: 2111.02191 · arxiv_version: 2111.02191v4 · doi: 10.48550/arxiv.2111.02191 · pith_short_12: P3I2GIKNRB7K · pith_short_16: P3I2GIKNRB7KKIOZ · pith_short_8: P3I2GIKN

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/P3I2GIKNRB7KKIOZRKVJPVW2TR \
  | 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: 7ed1a3214d887ea521d98aaa97d6da9c722a4599dc4624f88ef95855d88734e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52c525b139723bacaee084193baa59ca5cf97353124c1520734788fe5398b28a",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-11-03T13:00:25Z",
    "title_canon_sha256": "1ea2b953a5250c568a577e16f101c0946b2386a391bca440ec367b3993a0132d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.02191",
    "kind": "arxiv",
    "version": 4
  }
}