Pith Number

pith:2D7ZKSF2

pith:2016:2D7ZKSF2CFOYPSQ4QEOJQKYW2T

not attested not anchored not stored refs pending

A second order minimality condition for a free-boundary problem

Giovanni Leoni, Irene Fonseca, Maria Giovanna Mora

arxiv:1605.08315 v2 · 2016-05-26 · 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{2D7ZKSF2CFOYPSQ4QEOJQKYW2T}

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	2026-05-18T00:43:02.779815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0ff9548ba115d87ca1c811c982b16d4c6427f53c09044e42096a2e761bf547a

Aliases

arxiv: 1605.08315 · arxiv_version: 1605.08315v2 · doi: 10.48550/arxiv.1605.08315 · pith_short_12: 2D7ZKSF2CFOY · pith_short_16: 2D7ZKSF2CFOYPSQ4 · pith_short_8: 2D7ZKSF2

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/2D7ZKSF2CFOYPSQ4QEOJQKYW2T \
  | 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: d0ff9548ba115d87ca1c811c982b16d4c6427f53c09044e42096a2e761bf547a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68522ada93f3801c49cd109224f7c7c074fe7b32e91f384e3c13dc4b224f922d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-26T14:55:44Z",
    "title_canon_sha256": "c127a1c3320501739e33b276b8ec3957505b87fd4b9a1a7be3d98087608404c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08315",
    "kind": "arxiv",
    "version": 2
  }
}