Pith Number

pith:RAO53CTT

pith:2016:RAO53CTTRAAKFXFE54FQQHKXAB

not attested not anchored not stored refs pending

Constants of motion for Isoperimetric Variational Problems with Time Delay

G. S. F. Frederico, J. Paiva, M. J. Lazo, M. N. F. Barreto

arxiv:1603.02335 v2 · 2016-03-07 · 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{RAO53CTTRAAKFXFE54FQQHKXAB}

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	2026-07-05T01:32:54.631165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

881ddd8a738800a2dca4ef0b081d57004086c6253c5fba4dac84d97073b2bb68

Aliases

arxiv: 1603.02335 · arxiv_version: 1603.02335v2 · doi: 10.48550/arxiv.1603.02335 · pith_short_12: RAO53CTTRAAK · pith_short_16: RAO53CTTRAAKFXFE · pith_short_8: RAO53CTT

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/RAO53CTTRAAKFXFE54FQQHKXAB \
  | 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: 881ddd8a738800a2dca4ef0b081d57004086c6253c5fba4dac84d97073b2bb68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db9d3e80546ef5f8d94c7d84e521a7f30265d76ea36a49b1b3b0103621333468",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-03-07T22:57:59Z",
    "title_canon_sha256": "9156dde02177f4a1eac205d08e4061790ba13b2b6cea1d8182e15254d36a1a49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02335",
    "kind": "arxiv",
    "version": 2
  }
}