Pith Number

pith:SPKPZX5E

pith:2016:SPKPZX5ER7ORLKPYY542M5GEAD

not attested not anchored not stored refs pending

A minimization problem with free boundary related to a cooperative system

Henrik Shahgholian, Karen Yeressian, Luis A. Caffarelli

arxiv:1608.07689 v1 · 2016-08-27 · 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{SPKPZX5ER7ORLKPYY542M5GEAD}

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	2026-05-18T00:10:32.485277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93d4fcdfa48fdd15a9f8c779a674c400e0c217615417848ee9c066eeff3c0e7e

Aliases

arxiv: 1608.07689 · arxiv_version: 1608.07689v1 · doi: 10.48550/arxiv.1608.07689 · pith_short_12: SPKPZX5ER7OR · pith_short_16: SPKPZX5ER7ORLKPY · pith_short_8: SPKPZX5E

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/SPKPZX5ER7ORLKPYY542M5GEAD \
  | 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: 93d4fcdfa48fdd15a9f8c779a674c400e0c217615417848ee9c066eeff3c0e7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e20a87a38fd282898c63fccfdd6aca1930a4e95dcc86fc1ce4fd04fa6653e79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-27T10:25:37Z",
    "title_canon_sha256": "04a85ba3225a61afd0c3dc36b022514be843d0f84ff93971d462120c83785f2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07689",
    "kind": "arxiv",
    "version": 1
  }
}