Pith Number

pith:QJBWC7O5

pith:2016:QJBWC7O5SKVXPDCBE2ZIXWREAI

not attested not anchored not stored refs pending

Unrectifiable normal currents in Euclidean spaces

Andrea Schioppa

arxiv:1608.01635 v2 · 2016-08-04 · math.MG · 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{QJBWC7O5SKVXPDCBE2ZIXWREAI}

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.

Cited by

1 paper in Pith

The gap between a variational problem and its occupation measure relaxation

Receipt and verification

First computed	2026-05-18T01:00:59.926663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8243617ddd92ab778c4126b28bda240200f492795ae250042072373ebab9b841

Aliases

arxiv: 1608.01635 · arxiv_version: 1608.01635v2 · doi: 10.48550/arxiv.1608.01635 · pith_short_12: QJBWC7O5SKVX · pith_short_16: QJBWC7O5SKVXPDCB · pith_short_8: QJBWC7O5

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/QJBWC7O5SKVXPDCBE2ZIXWREAI \
  | 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: 8243617ddd92ab778c4126b28bda240200f492795ae250042072373ebab9b841

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8aea90cab1418914210e1e2a239c2b23b01e4b52a3365de561fdf337c5d48ad",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-08-04T18:26:53Z",
    "title_canon_sha256": "dbbd36cfee8696747e454054d1f869fd5351a989c8c89fb303eb1d64865f5bd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01635",
    "kind": "arxiv",
    "version": 2
  }
}