Pith Number

pith:ZTPUQBUF

pith:2015:ZTPUQBUF5PHDO772J2KUJBLONJ

not attested not anchored not stored refs pending

Eigenvalues for double phase variational integrals

Francesca Colasuonno, Marco Squassina

arxiv:1507.01959 v3 · 2015-07-07 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZTPUQBUF5PHDO772J2KUJBLONJ}

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	2026-05-18T01:30:34.258717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccdf480685ebce377ffa4e9544856e6a665590a567eef02b3478ad99565c605e

Aliases

arxiv: 1507.01959 · arxiv_version: 1507.01959v3 · doi: 10.48550/arxiv.1507.01959 · pith_short_12: ZTPUQBUF5PHD · pith_short_16: ZTPUQBUF5PHDO772 · pith_short_8: ZTPUQBUF

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/ZTPUQBUF5PHDO772J2KUJBLONJ \
  | 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: ccdf480685ebce377ffa4e9544856e6a665590a567eef02b3478ad99565c605e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "257f8ba5b4e45e3f1c3a857166b62a3d7bdc5b424b2dc2985162ddb9654aed98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-07T20:27:02Z",
    "title_canon_sha256": "8e5fb4952518b22d7c3480fc4e9e3649f1330bf38d02e15ba3a0d8402a113fdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01959",
    "kind": "arxiv",
    "version": 3
  }
}