Pith Number

pith:XJOJNKYH

pith:2017:XJOJNKYH3VZJIRLIKR2DUUF7V7

not attested not anchored not stored refs pending

Existence and phase separation of entire solutions to a pure critical competitive elliptic system

Angela Pistoia, M\'onica Clapp

arxiv:1708.09701 v2 · 2017-08-31 · 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{XJOJNKYH3VZJIRLIKR2DUUF7V7}

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	2026-05-18T00:30:41.614569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba5c96ab07dd7294456854743a50bfafd26556e8df86b045dce253b4c692f9e3

Aliases

arxiv: 1708.09701 · arxiv_version: 1708.09701v2 · doi: 10.48550/arxiv.1708.09701 · pith_short_12: XJOJNKYH3VZJ · pith_short_16: XJOJNKYH3VZJIRLI · pith_short_8: XJOJNKYH

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/XJOJNKYH3VZJIRLIKR2DUUF7V7 \
  | 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: ba5c96ab07dd7294456854743a50bfafd26556e8df86b045dce253b4c692f9e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "818a8340023c96bbe5d5b457344716429928d0dc7020131e79ac8cefd31b4b0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-31T13:31:34Z",
    "title_canon_sha256": "242d9ce992ea9be42f0811323d33ce2acba3a6b3130f778cb6eaa460bb775ee9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09701",
    "kind": "arxiv",
    "version": 2
  }
}