Pith Number

pith:HBX2COEP

pith:2016:HBX2COEPP6SKELMB3VAHDINUKQ

not attested not anchored not stored refs pending

An introduction to the study of critical points of solutions of elliptic and parabolic equations

Rolando Magnanini

arxiv:1604.00530 v2 · 2016-04-02 · 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{HBX2COEPP6SKELMB3VAHDINUKQ}

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	2026-05-18T01:15:48.916079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

386fa1388f7fa4a22d81dd4071a1b45404aae2f862bdf510cbb4c2af9df96a71

Aliases

arxiv: 1604.00530 · arxiv_version: 1604.00530v2 · doi: 10.48550/arxiv.1604.00530 · pith_short_12: HBX2COEPP6SK · pith_short_16: HBX2COEPP6SKELMB · pith_short_8: HBX2COEP

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/HBX2COEPP6SKELMB3VAHDINUKQ \
  | 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: 386fa1388f7fa4a22d81dd4071a1b45404aae2f862bdf510cbb4c2af9df96a71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e1cf51dc7f7c3570f281312f5f5f05ab647f60fa6a2f65d591ba2d44e5cc5fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-02T17:19:24Z",
    "title_canon_sha256": "e265066d3a59f6146269089ff9a24091ae4d4d0899c3bbe33a8d70d0dc528be4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00530",
    "kind": "arxiv",
    "version": 2
  }
}