Pith Number

pith:SD4FRACN

pith:2016:SD4FRACNRWTIAK2NS5C7VBYOSP

not attested not anchored not stored refs pending

Critical Points for Elliptic Equations with Prescribed Boundary Conditions

Giovanni S. Alberti, Guillaume Bal, Michele Di Cristo

arxiv:1611.06989 v2 · 2016-11-21 · 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{SD4FRACNRWTIAK2NS5C7VBYOSP}

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	2026-05-17T23:49:28.764901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90f858804d8da6802b4d9745fa870e93dc21ddff9c811b9a8872f43779a1bdea

Aliases

arxiv: 1611.06989 · arxiv_version: 1611.06989v2 · doi: 10.48550/arxiv.1611.06989 · pith_short_12: SD4FRACNRWTI · pith_short_16: SD4FRACNRWTIAK2N · pith_short_8: SD4FRACN

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/SD4FRACNRWTIAK2NS5C7VBYOSP \
  | 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: 90f858804d8da6802b4d9745fa870e93dc21ddff9c811b9a8872f43779a1bdea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fae21ee9305171fe84c7254eb8fdbc6c7d0d649e32b079373cc67520d70cd15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-21T20:13:08Z",
    "title_canon_sha256": "ee3c2a5f0b172d06dbbf4585adc17c5d65fa29f42b066dd4a702a96c2e62de1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06989",
    "kind": "arxiv",
    "version": 2
  }
}