Pith Number

pith:UHBCVVAF

pith:2015:UHBCVVAFBJYDDRXVFTXM32YNSZ

not attested not anchored not stored refs pending

Fractional variational problems depending on indefinite integrals and with delay

Ricardo Almeida

arxiv:1512.06752 v1 · 2015-12-08 · 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{UHBCVVAFBJYDDRXVFTXM32YNSZ}

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	2026-05-18T01:23:59.769365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1c22ad4050a7031c6f52ceecdeb0d9657353ec3e69bee8859a9f5aa334b296b

Aliases

arxiv: 1512.06752 · arxiv_version: 1512.06752v1 · doi: 10.48550/arxiv.1512.06752 · pith_short_12: UHBCVVAFBJYD · pith_short_16: UHBCVVAFBJYDDRXV · pith_short_8: UHBCVVAF

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/UHBCVVAFBJYDDRXVFTXM32YNSZ \
  | 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: a1c22ad4050a7031c6f52ceecdeb0d9657353ec3e69bee8859a9f5aa334b296b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a7bc02d311589dc39c593f2afa728cc190e5d1b39225228378a2b3833e8e7da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-08T15:23:43Z",
    "title_canon_sha256": "1d33fd091f1f50dbe725450ba6643aa38a597ae291507a18717dc9d7ce5c5409"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06752",
    "kind": "arxiv",
    "version": 1
  }
}