Pith Number

pith:53TKCQU7

pith:2011:53TKCQU7PVFFNRNZ2LAZSLSRF6

not attested not anchored not stored refs pending

A new proof for the existence of an equivariant entire solution connecting the minima of the potential for the system {\Delta}u - W_u (u) = 0

Nicholas D. Alikakos

arxiv:1106.0919 v1 · 2011-06-05 · 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{53TKCQU7PVFFNRNZ2LAZSLSRF6}

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	2026-05-18T04:20:36.990430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eee6a1429f7d4a56c5b9d2c1992e512fb85aeb3587b906c2faa173727d716c22

Aliases

arxiv: 1106.0919 · arxiv_version: 1106.0919v1 · doi: 10.48550/arxiv.1106.0919 · pith_short_12: 53TKCQU7PVFF · pith_short_16: 53TKCQU7PVFFNRNZ · pith_short_8: 53TKCQU7

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/53TKCQU7PVFFNRNZ2LAZSLSRF6 \
  | 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: eee6a1429f7d4a56c5b9d2c1992e512fb85aeb3587b906c2faa173727d716c22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a04e5ec0f3b8505c984aad23652851757830d1880a5820f2572625d754b18c46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-05T17:53:19Z",
    "title_canon_sha256": "ca4749cee6138652da803432164bdf9f86a2445a888735e0b2bc4e770b6c81d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0919",
    "kind": "arxiv",
    "version": 1
  }
}