Pith Number

pith:2MHKPWLI

pith:2010:2MHKPWLIOZHGOQI6ZZSALGMNMU

not attested not anchored not stored refs pending

Existence and multiplicity for elliptic problems with quadratic growth in the gradient

Boyan Sirakov, Louis Jeanjean

arxiv:1010.4520 v2 · 2010-10-21 · 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{2MHKPWLIOZHGOQI6ZZSALGMNMU}

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	2026-05-18T03:42:32.399990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d30ea7d968764e67411ece6405998d651e842c00be8b1e271dcacd974ecec20d

Aliases

arxiv: 1010.4520 · arxiv_version: 1010.4520v2 · doi: 10.48550/arxiv.1010.4520 · pith_short_12: 2MHKPWLIOZHG · pith_short_16: 2MHKPWLIOZHGOQI6 · pith_short_8: 2MHKPWLI

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/2MHKPWLIOZHGOQI6ZZSALGMNMU \
  | 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: d30ea7d968764e67411ece6405998d651e842c00be8b1e271dcacd974ecec20d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1305bd81bd52b1e55527eba85ea19081089a73b5a5011ddc8948af50c2ecb47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-21T16:41:34Z",
    "title_canon_sha256": "79662a47d517e538b2908d29fcc48fc9382db623fab46f7c2f1133ba2569a1d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4520",
    "kind": "arxiv",
    "version": 2
  }
}