Pith Number

pith:DUPYD2M6

pith:2013:DUPYD2M6F3CA6NMKRHBKK4Z5M6

not attested not anchored not stored refs pending

Ground state solution for a problem with mean curvature operator in Minkowski space

Antonio Azzollini

arxiv:1305.0704 v2 · 2013-05-03 · 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{DUPYD2M6F3CA6NMKRHBKK4Z5M6}

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	2026-05-18T03:01:56.304310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d1f81e99e2ec40f358a89c2a5733d67a5806c3e3a2a6150c25de97c85a491bb

Aliases

arxiv: 1305.0704 · arxiv_version: 1305.0704v2 · doi: 10.48550/arxiv.1305.0704 · pith_short_12: DUPYD2M6F3CA · pith_short_16: DUPYD2M6F3CA6NMK · pith_short_8: DUPYD2M6

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/DUPYD2M6F3CA6NMKRHBKK4Z5M6 \
  | 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: 1d1f81e99e2ec40f358a89c2a5733d67a5806c3e3a2a6150c25de97c85a491bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5037328b80e42fcea73b3b266321a08c5a3153b0522cbeecd692bbf779ba3ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-03T13:45:24Z",
    "title_canon_sha256": "c418744a4cff919255c9194c51f7396e6f138ff70ba7583d93aa9e6cad43d20e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0704",
    "kind": "arxiv",
    "version": 2
  }
}